Pseudo-absorbing comultiplication modules over a pullback ring

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International Electronic Journal of Algebra
Volume:35 Issue:35
Pseudo-absorbing comultiplication modules over a pullback ring

Pseudo-absorbing comultiplication modules over a pullback ring

Authors : Shahabaddin Ebrahimi Atani, Mehdi Khoramdel, Saboura Dolati Pishhesari

Pages : 1-19

Doi:10.24330/ieja.1404416

View : 72 | Download : 48

Publication Date : 2024-01-09

Article Type : Research Paper

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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