有限交换特性意味着完全交换特性的新模块类别

IF 0.6 3区数学 Q3 MATHEMATICS Communications in Algebra Pub Date : 2024-08-13 DOI:10.1080/00927872.2024.2377803

Hussein Eid, Yasser Ibrahim

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引用次数: 0

摘要

设 M 是一个右 R 模块。如果存在一个 A≅B且 A∩B=0 的 M 求和 B，我们称 M 的求和 A 为特殊求和。

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New classes of modules for which the finite exchange property implies the full exchange property

Let M be a right R-module. We call a summand A of M a special summand if there exists a summand B of M with A≅B and A∩B=0. An internal direct sum ⊕i∈IAi of submodules Ai of M is called a special lo...

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来源期刊

Communications in Algebra 数学-数学

CiteScore

1.30

自引率

14.30%

发文量

327

审稿时长

9 months

期刊介绍： Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published. Topics Covered Include: -Commutative Algebra -Ring Theory -Module Theory -Non-associative Algebra including Lie algebras, Jordan algebras -Group Theory -Algebraic geometry

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