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Defining Compositions of xμ+,|x|μ,x−s,and x−sln|x|as Neutrix Limit of Regular Sequences 认领 引用
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作者 Emin Özcag Limonka Lazarova Biljana Jolevska-Tuneska 《Communications in Mathematics and Statistics》 2016年第1期63-80,共18页
In this paper the compositions(xμ+)--s,(x+μ)+-s,(|x|μ)--sand(|x|μ)--sof distributions x+μ,|x|μand x-sare considered.They are defined via neutrix calculusfor... In this paper the compositions(xμ+)--s,(x+μ)+-s,(|x|μ)--sand(|x|μ)--sof distributions x+μ,|x|μand x-sare considered.They are defined via neutrix calculusforμ>0,s=1,2,...andμs∈Z+.In addition,the composition of x-sln|x|andis also defined for r,s∈Z+. 展开更多
关键词 Composition of distributions Dirac delta function Pseudo-function Neutrix calculus Hadamard finite part Regular sequence Delta sequence
Finite Indeterminacy of Homogenous Polynomial Germs under Some Subgroups RI_r of R 认领 引用 被引量:2
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作者 LIU Heng-xing ZHANG Dun-mu 《Wuhan University Journal of Natural Sciences》 EI CAS 2005年第5期803-807,共5页
Using the finite determinacy relation with the regular sequence in the Ring Theory and the complete intersection in Analytic Geometry, the finite indeterminacy of homogeneous polynomial germs under some subgroups R1(... Using the finite determinacy relation with the regular sequence in the Ring Theory and the complete intersection in Analytic Geometry, the finite indeterminacy of homogeneous polynomial germs under some subgroups R1(r) of R in both real and complex case is proven by the homogeneity of the polynomial germs. It results in the finite determinacy of homogeneous polynomial germs needn't be discussed respectively. 展开更多
关键词 homogeneous polynomial finitely determined algebraic set regular sequence complete intersection
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The Artinianness of Local Cohomology Modules 认领 引用
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作者 褚利忠 《Northeastern Mathematical Journal》 2007年第1期87-94,共8页
In this paper, let (R, m) be a Noetherian local ring, I lohtain in R an ideal, M and N be two finitely generated modules. Firstly, we study the properties of HI^t(M), t = f-depth(I, M) and discuss the relationsh... In this paper, let (R, m) be a Noetherian local ring, I lohtain in R an ideal, M and N be two finitely generated modules. Firstly, we study the properties of HI^t(M), t = f-depth(I, M) and discuss the relationship between the Artinianness of HI^i(M, N) and the Artinianness of HI^i(N). Then, we get that HI^d(M, N) is I-cofinite, if (R, m) is a d-dimensional Gorenstein local ring. 展开更多
关键词 local cohomology cofinite modules filter regular sequence
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Inverse problems associated with subsequence sums in Cp■Cp 认领 引用
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作者 Jiangtao PENG Yongke QU Yuanlin LI 《Frontiers of Mathematics in China》 SCIE CSCD 2020年第5期985-1000,共16页
Let G be a finite abelian group and S be a sequence with elements of G.We say that S is a regular sequence over G if|SH|≤|H|-1 holds for every proper subgroup H of G,where SH denotes the subsequence of S consisting o... Let G be a finite abelian group and S be a sequence with elements of G.We say that S is a regular sequence over G if|SH|≤|H|-1 holds for every proper subgroup H of G,where SH denotes the subsequence of S consisting of all terms of S contained in H.We say that S is a zero-sum free sequence over G if 0■Σ(S),where Σ(S)■G denotes the set of group elements which can be expressed as a sum of a nonempty subsequence of S.In this paper,we study the inverse problems associated with Σ(S)when S is a regular sequence or a zero-sum free sequence over G=Cp■Cp,where p is a prime. 展开更多
关键词 Inverse problems subsequence sums regular sequences zZero-sumfree sequences
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On the Seneta Sequences 认领 引用
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作者 Dragan DJURI Aleksandar TORGAEV 《Acta Mathematica Sinica,English Series》 SCIE 2006年第3期689-692,共4页
In this paper, we prove some properties of the Seneta sequences and functions, and in particular we prove a representation theorem in the Karamata sense for the sequences from the Seneta class SOc.
关键词 Regularly varying functions and sequences Seneta functions and sequences Representation theorem
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