发布求助
文献互助 智能选刊 最新文献

Mathematical Reports最新文献

筛选
英文 中文
"COFINITENESS AND ANNIHILATORS OF TOP LOCAL COHOMOLOGY MODULES" 上局部上同调模的共性与湮灭子
IF 0.1 4区 数学
Mathematical Reports Pub Date : 2022-01-01 DOI: 10.59277/mrar.2023.25.75.1.133
Iraj Bagheriyeh, K. Bahmanpour, G. Ghasemi
{"title":"\"COFINITENESS AND ANNIHILATORS OF TOP LOCAL COHOMOLOGY MODULES\"","authors":"Iraj Bagheriyeh, K. Bahmanpour, G. Ghasemi","doi":"10.59277/mrar.2023.25.75.1.133","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.1.133","url":null,"abstract":"\"Let R be a Noetherian ring and I be an ideal of R. Let M be a finitely generated R-module with cd(I,M) = t ≥ 0 and assume that L is the largest submodule of M such that cd(I,L) < cd(I,M). It is shown that AnnR Ht I (M) = AnnRM/L in each of the following cases: (i) dimM/IM ≤ 1. (ii) dimR/I ≤ 1. (iii) The R-module Hi I (M) is Artinian for each i ≥ 2. (iv) The R-module Hi I (R) is Artinian for each i ≥ 2. (v) cd(I,M) ≤ 1. (vi) cd(I,R) ≤ 1. (vii) The Rmodule Ht I (M) is Artinian and I-cofinite. These assertions answer affirmatively a question raised by Atazadeh et al. in [2], in some special cases.\"","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"37 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78074067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
"HYPERELLIPTIC DIOPHANTINE EQUATIONS FROM THE STUDY OF PARTITIONS" 分区研究中的超椭圆丢番图方程
IF 0.1 4区 数学
Mathematical Reports Pub Date : 2022-01-01 DOI: 10.59277/mrar.2023.25.75.1.73
D. Andrica, George C. Ţurcaş
{"title":"\"HYPERELLIPTIC DIOPHANTINE EQUATIONS FROM THE STUDY OF PARTITIONS\"","authors":"D. Andrica, George C. Ţurcaş","doi":"10.59277/mrar.2023.25.75.1.73","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.1.73","url":null,"abstract":"\"We present two Diophantine equations that arise from some new results in the theory of partitions with equal sums. We link these to the problem of finding rational points on some hyperelliptic curves and we solve the latter, assisted by computer algebra packages, using a p-adic method pioneered by Chabauty and Coleman.\"","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"29 4","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72431256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
EXISTENCE OF EVEN PERFECT POLYNOMIALS 偶完全多项式的存在性
IF 0.1 4区 数学
Mathematical Reports Pub Date : 2022-01-01 DOI: 10.59277/mrar.2023.25.75.1.47
L. Gallardo, O. Rahavandrainy
{"title":"EXISTENCE OF EVEN PERFECT POLYNOMIALS","authors":"L. Gallardo, O. Rahavandrainy","doi":"10.59277/mrar.2023.25.75.1.47","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.1.47","url":null,"abstract":"\"Perfect polynomials are a natural analogue (in the ring Fp[x]) of multiperfect numbers (in the ring of integers). The latter numbers are classical objects that are poorly understood, since only their definition is simple. We describe, by elementary methods, the most basic objects in the polynomial case of the general problem. We display, for every prime number p ̸≡ 1mod 12 (resp. p ̸≡ 1mod 24) many new even non-splitting perfect (resp. unitary perfect) polynomials over Fp. Moreover, for any prime number p ̸≡ 1mod 24, new bi-unitary perfect polynomials are also given. These examples substantially improve our knowledge about these kinds of polynomials.\"","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"147 6 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83109906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
"ON CLEAN FREE MODULES AND A CHARACTERIZATION OF CLEAN RINGS" “关于干净自由模和干净环的表征”
IF 0.1 4区 数学
Mathematical Reports Pub Date : 2022-01-01 DOI: 10.59277/mrar.2023.25.75.1.103
Esmaeil Rostami, S. Hedayat
{"title":"\"ON CLEAN FREE MODULES AND A CHARACTERIZATION OF CLEAN RINGS\"","authors":"Esmaeil Rostami, S. Hedayat","doi":"10.59277/mrar.2023.25.75.1.103","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.1.103","url":null,"abstract":"\"In this paper, the concept of clean ring is generalized to modules. We call a free R-module, Rn, clean, whenever every element of Rn can be written as the sum of a unimodular and an idempotent row. We show that when R is Noetherian, the R-module Rn is clean if and only if R can be expressed as a finite direct product of indecomposable rings Ri, say R = Lt i=1 Ri, such that each Ri has at most 2n − 1 maximal ideals. We also give a new characterization of clean rings.\"","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"44 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91339157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ON THE KERNEL OF THE PROJECTION MAP T(V ) → S(V ) 投影映射t (v)→s (v)的核
IF 0.1 4区 数学
Mathematical Reports Pub Date : 2019-12-07 DOI: 10.59277/mrar.2023.25.75.2.287
C. Beli
{"title":"ON THE KERNEL OF THE PROJECTION MAP T(V ) → S(V )","authors":"C. Beli","doi":"10.59277/mrar.2023.25.75.2.287","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.2.287","url":null,"abstract":"If V is a vector space over some field F, then we have the well known exact sequence 0 → Λ2(V ) → T2(V ) → S2(V ) → 0, where the first map is given by x∧y → x⊗y−y⊗x and the second by x⊗y 7→ xy. The obvious generalization, an exact sequence, 0 → Λk(V ) → T","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"3 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2019-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84511849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
CHARACTERIZATION OF FINITE DIMENSIONAL NILPOTENT LIE ALGEBRAS BY THE DIMENSION OF THEIR SCHUR MULTIPLIERS, s(L) = 5 有限维幂零李代数的舒尔乘子维数表征，s(L) = 5
IF 0.1 4区 数学
Mathematical Reports Pub Date : 2019-02-11 DOI: 10.59277/mrar.2023.25.75.2.301
A. Shamsaki, P. Niroomand
{"title":"CHARACTERIZATION OF FINITE DIMENSIONAL NILPOTENT LIE ALGEBRAS BY THE DIMENSION OF THEIR SCHUR MULTIPLIERS, s(L) = 5","authors":"A. Shamsaki, P. Niroomand","doi":"10.59277/mrar.2023.25.75.2.301","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.2.301","url":null,"abstract":"It is known that the dimension of the Schur multiplier of a non-abelian nilpotent Lie algebra L of dimension n is equal to 1 2 (n − 1)(n − 2) + 1 − s(L) for some s(L) ≥ 0. The structure of all nilpotent Lie algebras has been given for s(L) ≤ 4 in several","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"6 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2019-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80017737","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
FINITENESS DIMENSIONS AND COFINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES 广义局部上同调模的有限性维数和有限性
IF 0.1 4区 数学
Mathematical Reports Pub Date : 2018-10-24 DOI: 10.59277/mrar.2023.25.75.2.349
A. Vahidi, M. Aghapournahr, E. M. Renani
{"title":"FINITENESS DIMENSIONS AND COFINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES","authors":"A. Vahidi, M. Aghapournahr, E. M. Renani","doi":"10.59277/mrar.2023.25.75.2.349","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.2.349","url":null,"abstract":"Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R, M a nite R-module, and n a non-negative integer. In this paper, for an arbitrary R-module X which is not necessarily nite, we prove the following results: (i) fn a (M;X) = i","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"59 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2018-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81171131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SOME PROPERTIES OF {k}-PACKING FUNCTION PROBLEM IN GRAPHS 图中{k}-填充函数问题的一些性质
IF 0.1 4区 数学
Mathematical Reports Pub Date : 2018-03-08 DOI: 10.59277/mrar.2023.25.75.2.263
J. Kratica, A. Savi'c, Zoran Lj. Maksimovi'c
{"title":"SOME PROPERTIES OF {k}-PACKING FUNCTION PROBLEM IN GRAPHS","authors":"J. Kratica, A. Savi'c, Zoran Lj. Maksimovi'c","doi":"10.59277/mrar.2023.25.75.2.263","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.2.263","url":null,"abstract":"The recently introduced {k}-packing function problem is considered in this paper. Relationship between cases when k = 1, k ≥ 2 and linear programming relaxation are introduced with sufficient conditions for optimality. For arbitrary simple connected graph","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"99 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2018-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75977192","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信