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Pseudo-absorbing comultiplication modules over a pullback ring

In this paper, we introduce the notion of pseudo-absorbing comultiplication modules. A full description of all indecomposable pseudo-absorbing comultiplication modules with finite dimensional top over certain kinds of pullback rings are given and establish a connection between the pseudo-absorbing c...

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Bibliographic Details
Published in:International electronic journal of algebra 2024-01, Vol.35 (35), p.1-19
Main Authors: ATANI, Shahabaddin Ebrahimi, KHORAMDEL, Mehdi, DOLATI PISHHESARI, Saboura
Format: Article
Language:English
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Summary:In this paper, we introduce the notion of pseudo-absorbing comultiplication modules. A full description of all indecomposable pseudo-absorbing comultiplication modules with finite dimensional top over certain kinds of pullback rings are given and establish a connection between the pseudo-absorbing comultiplication modules and the pure-injective modules over such rings.
ISSN:1306-6048
1306-6048
DOI:10.24330/ieja.1404416