ABSORBING COMULTIPLICATION MODULES OVER A PULLBACK RING

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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