Pseudo-absorbing comultiplication modules over a pullback ring

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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