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到欧氏空间的调和Morphisms的分类 认领 引用
1
作者 傅吉祥 《数学年刊（A辑）》 北大核心 1999年第3期361-364,共4页
本文使用了流形几何的方法，分类了从IR^m中开子集U到IR^n的水平相似的调和morphisms,作为推论，给出了Gudmundsson与Sigurdsson关于复欧氏空间的连通开子集之间的全纯调和morphisms的完全分类定理[8]的一个简单证明。
关键词 水平共形映射 调和morphism 分类 欧氏空间
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f-Harmonic Morphisms Between Riemannian Manifolds 认领 引用 被引量：5
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作者 Yelin OU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2014年第2期225-236,共12页
f-Harmonic maps were first introduced and studied by Lichnerowicz in 1970.In this paper,the author studies a subclass of f-harmonic maps called f-harmonic morphisms which pull back local harmonic functions to local f-... f-Harmonic maps were first introduced and studied by Lichnerowicz in 1970.In this paper,the author studies a subclass of f-harmonic maps called f-harmonic morphisms which pull back local harmonic functions to local f-harmonic functions.The author proves that a map between Riemannian manifolds is an f-harmonic morphism if and only if it is a horizontally weakly conformal f-harmonic map.This generalizes the well-known characterization for harmonic morphisms.Some properties and many examples as well as some non-existence of f-harmonic morphisms are given.The author also studies the f-harmonicity of conformal immersions. 展开更多
关键词 f-Harmonic maps f-Harmonic morphisms F-Harmonic maps Har-monic morphisms p-Harmonic morphisms
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Poisson Morphisms and Reduced Affine Poisson Group Actions 认领 引用
3
作者 YANG Qi Lin 《Acta Mathematica Sinica,English Series》 SCIE 2002年第2期301-310,共10页
We,establish the concept of a quotient affine Poisson group,and study the reduced Poisson action of the quotient of an affine Poisson group G on the quotient of an affine Poisson G-variety V.The Poisson morphisms(incl... We,establish the concept of a quotient affine Poisson group,and study the reduced Poisson action of the quotient of an affine Poisson group G on the quotient of an affine Poisson G-variety V.The Poisson morphisms(including equivariant cases)between Poisson affine varieties are also discussed. 展开更多
关键词 Poisson affine varieties Affine Poissou groups Poisson morphisms
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Two Notes on Auto morphisms of Modules over a PID 认领 引用
4
作者 Heguo Liu Xiaoliang Luo +1 位作者 Xin Qin Bomin Zan 《Algebra Colloquium》 SCIE CSCD 2019年第3期401-410,共10页
Let Z>be a principal ideal domain(PID)and M be a module over D.We prove the following two dual results:(i)If M is finitely generated and rr,y are two elements in M such that M/Dx≌M/Dy,then there exists an auto mor... Let Z>be a principal ideal domain(PID)and M be a module over D.We prove the following two dual results:(i)If M is finitely generated and rr,y are two elements in M such that M/Dx≌M/Dy,then there exists an auto morphism a of M such that a(x)=y.(ii)If M satisfies the minimal cond计ion on submodules and X,Y are two locally cyclic submodules of M such that M/X≌M/Y and X≌Y,then there exists an automorphism a of M such that α(X)=Y. 展开更多
关键词 auto morphism of modules finitely generated module module with minimumcondition on submodules
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On the Construction of p-Harmonic Morphisms and Conformal Actions 认领 引用
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作者 Xiao Huan MO Li Bing HUANG Yuan Zheng ZHANG 《Acta Mathematica Sinica,English Series》 SCIE 2007年第8期1475-1484,共10页
We produce p-harmonic morphisms by conformal foliations and Clifford systems.First,we give a useful criterion for a foliation on an m-dimensional Riemannian manifold locally generated by conformal fields to produce p-... We produce p-harmonic morphisms by conformal foliations and Clifford systems.First,we give a useful criterion for a foliation on an m-dimensional Riemannian manifold locally generated by conformal fields to produce p-harmonic morphisms.By using this criterion we manufacture conformal foliations,with codimension not equal to p,which are locally the fibres of p-harmonic morphisms.Then we give a new approach for the construction of p-harmonic morphisms from R^m/{0}to R^n.By the well-known representation of Clifford algebras,we find an abundance of the new 2/3(m+1)-harmonic morphismФ:R^m/{0}→R^n where m=2κδ(n-1). 展开更多
关键词 p-harmonic morphism Clifford system homogeneous function conformal field
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Preservation of Quasi-isomorphisms of Complexes 认领 引用
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作者 Zhong Kui LIU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第12期2489-2500,共12页
We consider the preservation property of the homomorphism and tensor product functors for quasi-isomorphisms and equivalences of complexes. Let X and Y be two classes of R-modules with Ext〉I（X,Y） = 0 for each objec... We consider the preservation property of the homomorphism and tensor product functors for quasi-isomorphisms and equivalences of complexes. Let X and Y be two classes of R-modules with Ext〉I（X,Y） = 0 for each object X ∈ X and each object Y ∈ Y. We show that if A,B ∈ C^（R） are X-complexes and U, V ∈ Cr（R） are Y-complexes, then U V Hom（A, U） Hom（A, Y）; A B Hom（B, U） Hom（A, U）. As an application, we give a sufficient condition for the Hom evaluation morphism being invertible. 展开更多
关键词 Quasi-isomorphism equivalence derived functor Gorenstein homological dimension,Hom evaluation morphism
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SOME CHARACTERISTIC THEOREMS OF ORDER-HOMOMORPHISMS 认领 引用
7
作者 王国俊 《Chinese Science Bulletin》 1985年第6期723-727,共5页
Ⅰ. INTRODUCTION In 1979, the author introduced the concept of order-homomorphisms on Fuzzes, and in Refs. [2,3], this notion has been studied more systematically. With the general mappings, functions of Zadeh’s type... Ⅰ. INTRODUCTION In 1979, the author introduced the concept of order-homomorphisms on Fuzzes, and in Refs. [2,3], this notion has been studied more systematically. With the general mappings, functions of Zadeh’s type and Fuzz functions as its special exam- 展开更多
关键词 systematically preserving satis briefly notionunion suppose verify mentioned morphism
Bernstein theorem for harmonic morphisms from(N+1)-sphere to N-manifold 认领 引用
8
作者 DONG Yuxin 《Chinese Science Bulletin》 1997年第1期11-14,共4页
LETφ:M→N be a smooth mapping between the Riemannian manifolds.Ifφpulls back germs of harmonic functions on N to germs of harmonic functions on M,we call it harmonic morphism.Harmonic morphisms may be characterized ... LETφ:M→N be a smooth mapping between the Riemannian manifolds.Ifφpulls back germs of harmonic functions on N to germs of harmonic functions on M,we call it harmonic morphism.Harmonic morphisms may be characterized as harmonic mappings which are hori-zontally weakly conformal[1,2].In recent years a substantial progress has been made in the field of harmonic morphism,for example,refs.[3-7]. 展开更多
关键词 harmonic morphism Hopf fibration geodesic
Equivalent Conditions of Dominated Splitting for Volume-Preserving Diffeomorphisms 认领 引用 被引量：2
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作者 Chao LIANG Geng LIU Wen Xiang SUN 《Acta Mathematica Sinica,English Series》 SCIE 2007年第9期1563-1576,共14页
We discuss the equivalent conditions of dominated splitting for conservative diffeomorphisms in C^1 topology.
关键词 Homoclinic tangency preperiodic point dominated splitting volume-preserving diffeo- morphism
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On structure of cluster algebras of geometric type Ⅰ:In view of sub-seeds and seed homomorphisms 认领 引用 被引量：2
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作者 Min Huang Fang Li Yichao Yang 《Science China Mathematics》 SCIE EI CSCD 2018年第5期831-854,共24页
Our motivation is to build a systematic method in order to investigate the structure of cluster algebras of geometric type. The method is given through the notion of mixing-type sub-seeds, the theory of seed homomorph... Our motivation is to build a systematic method in order to investigate the structure of cluster algebras of geometric type. The method is given through the notion of mixing-type sub-seeds, the theory of seed homomorphisms and the view-point of gluing of seeds. As an application, for(rooted) cluster algebras, we completely classify rooted cluster subalgebras and characterize rooted cluster quotient algebras in detail. Also,we build the relationship between the categorification of a rooted cluster algebra and that of its rooted cluster subalgebras. Note that cluster algebras of geometric type studied here are of the sign-skew-symmetric case. 展开更多
关键词 seed homomorphism mixing-type sub-seed rooted cluster morphism sub-rooted cluster algebra rooted cluster quotient algebra
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Some Properties of Morphisms in Effect Algebras 认领 引用 被引量：4
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作者 ZHANG Jian Cheng WANG Guo Jun 《Journal of Mathematical Research and Exposition》 2009年第2期219-226,共8页
In the present paper the properties of morphisms in effect algebras are discussed. The conditions for the morphisms in effect algebras to be join-preservation and meet-preservation are given. From the categorical poin... In the present paper the properties of morphisms in effect algebras are discussed. The conditions for the morphisms in effect algebras to be join-preservation and meet-preservation are given. From the categorical point of view, some properties of ideals, filters and congruence relations under morphisms are obtained. 展开更多
关键词 effect algebra effect morphism ideal congruence adjoint functor.
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On Certain Identities with Automorphisms on Lie Ideals in Prime and Semiprime Rings 认领 引用
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作者 Vincenzo De Filippis Nadeem ur Rehman 《Algebra Colloquium》 SCIE CSCD 2019年第1期93-104,共12页
Let R be a prime ring of characteristic different from 2, Z(R) its center, L a Lie ideal of R, and m, n, s, t≥> 1 fixed integers with t ≤ m + n + s. Suppose that a is a non-trivial automorphism of R and let φ(x,... Let R be a prime ring of characteristic different from 2, Z(R) its center, L a Lie ideal of R, and m, n, s, t≥> 1 fixed integers with t ≤ m + n + s. Suppose that a is a non-trivial automorphism of R and let φ(x,y)=[x,y]^t -[x,y]^m[α([x,y]),[x,y]^n[x,y]^s. Thus,(a)if φ(u, v)= 0 for any u,v∈L, then L■Z(R);(b) if φ(u,v)∈ Z(R) for any u,v∈L, then either L■Z(R) or R satisfies S4, the standard identity of degree 4. We also extend the results to semiprime rings. 展开更多
关键词 auto morphism (semi-) prime ring Lie ideal
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Harmonic polynomial morphisms between Euclidean spaces 认领 引用 被引量：1
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作者 唐梓洲 《Science China Mathematics》 1999年第6期570-576,共7页
Two non-existence theorems on harmonic polynomial morphisms between Euclidean spaces have been shown.
关键词 harmonic morphism nonsingular multilinear map isoparametric polynomial.
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Finite morphisms of projective and K■hler manifolds 认领 引用
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作者 Thomas PETERNELL 《Science China Mathematics》 2008年第4期685-694,共10页
In this paper we study finite morphisms of projective and compact K■hler manifolds, in particular,positivity properties of the associated vector bundle,deformation theory and ramified endomorphisms.
关键词 finite morphism deformation Galois covering ample vector bundle Fano manifold
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Frobenius morphisms and stable module categories of repetitive algebras 认领 引用
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作者 DENG BangMing WAN JinKui 《Science China Mathematics》 2008年第2期169-184,共16页
Let k be the algebraic closure of a finite field $\mathbb{F}_q $ and A be a finite dimensional k-algebra with a Frobenius morphism F. In the present paper we establish a relation between the stable module category of ... Let k be the algebraic closure of a finite field $\mathbb{F}_q $ and A be a finite dimensional k-algebra with a Frobenius morphism F. In the present paper we establish a relation between the stable module category of the repetitive algebra ? of A and that of the repetitive algebra of the fixed-point algebra A F. As an application, it is shown that the derived category of A F is equivalent to the subcategory of F-stable objects in the derived category of A when A has a finite global dimension. 展开更多
关键词 Frobenius morphism repetitive algebra stable module category derived category 16G10 18E30
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Relationship between HSP70-hom single nucleotide polymorphisms and hypertension 认领 引用
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作者 唐小平 《China Medical Abstracts(Internal Medicine)》 2016年第2期
Objective To investigate the relationship between HSP70-hom(2437 T/C)single nucleotide polymorphism and hypertension,and to analyze the population distribution of this polymorphism.Methods Samples were collected throu... Objective To investigate the relationship between HSP70-hom(2437 T/C)single nucleotide polymorphism and hypertension,and to analyze the population distribution of this polymorphism.Methods Samples were collected through epidemiological surveys.The HSP70-hom single nucleotide polymorphisms were detected by the method of polymerase chain reaction-restriction 展开更多
关键词 alleles length genotype susceptible excluding morphism women
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Covering Morphisms in a Pushout-Pullback Diagram 认领 引用
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作者 De Xu ZHOU 《Journal of Mathematical Research and Exposition》 2010年第3期536-542,共7页
In a pushout-pullback diagram, which consists of four morphisms f ： A → B, g ： A → C, α ： C → D and β ： B → D, we give some relations among the covers of these four modules. If ker f∈I（ ）, then g ： A → ... In a pushout-pullback diagram, which consists of four morphisms f ： A → B, g ： A → C, α ： C → D and β ： B → D, we give some relations among the covers of these four modules. If ker f∈I（ ）, then g ： A → C is -covering if and only if ： B → D is -covering. If every module has an -precover and kerf E I（ ）, then A and C have isomorphic -precovers if and only if B and D have isomorphic -precovers. 展开更多
关键词 cover covering morphism pushout-pullback diagram.
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Gender differences in trauma,shock and sepsis 认领 引用 被引量：17
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作者 Florian Bosch Martin K.Angele Irshad H.Chaudry 《Military Medical Research》 SCIE CAS CSCD 2019年第1期67-77,共11页
Despite efforts in prevention and intensive care, trauma and subsequent sepsis are still associated with a high mortality rate. Traumatic injury remains the main cause of death in people younger than 45 years and is t... Despite efforts in prevention and intensive care, trauma and subsequent sepsis are still associated with a high mortality rate. Traumatic injury remains the main cause of death in people younger than 45 years and is thus a source of immense social and economic burden. In recent years, the knowledge concerning gender medicine has continuously increased. A number of studies have reported gender dimorphism in terms of response to trauma, shock and sepsis.However, the advantageous outcome following trauma-hemorrhage in females is not due only to sex. Rather, it is due to the prevailing hormonal milieu of the victim. In this respect, various experimental and clinical studies have demonstrated beneficial effects of estrogen for the central nervous system, the cardiopulmonary system, the liver, the kidneys, the immune system, and for the overall survival of the host. Nonetheless, there remains a gap between the bench and the bedside. This is most likely because clinical studies have not accounted for the estrus cycle. This review attempts to provide an overview of the current level of knowledge and highlights the most important organ systems responding to trauma, shock and sepsis. There continues to be a need for clinical studies on the prevailing hormonal milieu following trauma, shock and sepsis. 展开更多
关键词 Trauma-hemorrhage Cardiopulmonary bypass Gender morphism Hormonal milieu Estrogens
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On Polynomial Representations of Lie Algebras 认领 引用 被引量：2
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作者 陈酌 贺龙光 钟德寿 《Northeastern Mathematical Journal》 2006年第3期335-348,共14页
We study polynomial representations of finite dimensional （R or C） Lie algebras. As a total classification, we show that there are altogether three types of such nontrivial representations and give their subtle stru... We study polynomial representations of finite dimensional （R or C） Lie algebras. As a total classification, we show that there are altogether three types of such nontrivial representations and give their subtle structures. 展开更多
关键词 Lie algebra polynomial morphism Levi decomposition
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On Characterizations of Drazin Inverse 认领 引用 被引量：2
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作者 陈建龙 魏益民 《Northeastern Mathematical Journal》 2006年第1期15-20,共6页
Let φ be a pre-additive category. Assume that φ： X→X is a morphism of φ. In this paper, we give the necessary and sufficient conditions for φ to have the Drazin inverse by using the von Neumann regular inverse f... Let φ be a pre-additive category. Assume that φ： X→X is a morphism of φ. In this paper, we give the necessary and sufficient conditions for φ to have the Drazin inverse by using the von Neumann regular inverse for the φ^k, and extend a result by Puystjens and Hartwig from the group inverse to Drazin inverse. 展开更多
关键词 Drazin inverse group inverse pre-additive category morphism
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