ABSORBING COMULTIPLICATION MODULES OVER A PULLBACK RING

Year 2018, Volume: 24 Issue: 24, 31 - 49, 05.07.2018

Atani S. Ebrahimi Saboura Dolati Pish Hesari Mehdi Khoramdel Maryam Sedghi Shanbeh Bazari

https://doi.org/10.24330/ieja.440164

Abstract

The purpose of this paper is to introduce the concept of 2-absorbing

comultiplication modules, which form a subclass of the class of pure-injective

modules over pullback rings. A full description of all indecomposable 2-

absorbing comultiplication modules with nite-dimensional top over the pull-

back of two discrete valuation domains with the same residue eld is given.

Keywords

Pullback, separated, non-separated, 2-absorbing comultiplication module

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