Volume 9, Issue 3 (12-2023)                   mmr 2023, 9(3): 1-20 | Back to browse issues page

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1- lorestan university , beyranvand.r@lu.ac.ir
2- lorestan university
Abstract:   (566 Views)
Let R be an arbitrary ring and N be a right R-module.  A right R-module M is called N-retractable if HomR(M,N')≠0, for any nonzero submodule N' of N. This is a generalization of the concept of retractable modules. The aim of this paper is to study of N-retractable modules, where N is an arbitrary right R-module. One of the most important results of this paper is the characterization of rings that have a module such that each module is retractable with respect to it. Also we show that the class of N-retractable modules is closed under direct sums and direct products.   
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Type of Study: S | Subject: alg
Received: 2021/11/1 | Revised: 2024/03/2 | Accepted: 2022/04/22 | Published: 2023/12/5 | ePublished: 2023/12/5

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