有限交换特性意味着完全交换特性的新模块类别

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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