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Farzalipour F, Ghiasvand P. Quasi-semiprime comultiplication modules over pullback rings. mmr 2024; 10 (1)
URL: http://mmr.khu.ac.ir/article-1-3284-en.html
URL: http://mmr.khu.ac.ir/article-1-3284-en.html
1- Payame Noor University , f_farzalipour@pnu.ac.ir
2- Departme Payame Noor University
2- Departme Payame Noor University
Abstract: (4 Views)
The main purpose of this article is to classify all indecomposable quasi-semiprime comultiplication modules over pullback rings of two Dedekind domains and establish a connection between the quasi-semiprime comultiplication modules and the pure-injective modules over such rings. First, we introduce and study the notion of quasi-semiprime comultiplication modules and classify quasi-semiprime comultiplication modules over local Dedekind domains. Second, we get all indecomposable separated quasi-semiprime comultiplication modules and then, using this list of separated quasi-semiprime comultiplication modules, we show that non-separated indecomposable quasi-semiprime comultiplication Rmodules with finite-dimensional top are factor modules of finite direct sums of separated indecomposable quasi-semiprime comultiplication R-modules.
Keywords: Dedekind domains, Pullback, Pure-injective modules, Separated modules, Quasi-semiprime comultiplication modules.
Type of Study: S |
Subject:
alg
Received: 2022/08/5 | Revised: 2023/07/11 | Accepted: 2023/08/10 | Published: 2024/04/27 | ePublished: 2024/04/27
Received: 2022/08/5 | Revised: 2023/07/11 | Accepted: 2023/08/10 | Published: 2024/04/27 | ePublished: 2024/04/27
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