1- Payame Noor University , f_farzalipour@pnu.ac.ir
2- Departme Payame Noor University
Abstract: (619 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.
Type of Study:
S |
Subject:
alg Received: 2022/08/5 | Revised: 2024/08/17 | Accepted: 2023/08/10 | Published: 2024/04/27 | ePublished: 2024/04/27