Pseudo-absorbing comultiplication modules over a pullback ring

Year 2024, , 1 - 19, 09.01.2024

Shahabaddin Ebrahimi Atanı , Mehdi Khoramdel , Saboura Dolatı Pıshhesarı

https://doi.org/10.24330/ieja.1404416

Abstract

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.

Keywords

Pullback, separated, non-separated, pseudo-absorbing comultiplication module, pure-injective module

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