Title of article :
ABSORBING COMULTIPLICATION MODULES OVER A PULLBACK RING
Author/Authors :
Ebrahimi Atani, Shahabaddin Department of Mathematics - Faculty of Science - University of Guilan , Dolati Pish Hesari, Saboura Department of Mathematics - Faculty of Science - University of Guilan , Khoramdel, Mehdi Department of Mathematics - Faculty of Science - University of Guilan , Sedghi Shanbeh Bazari, Maryam Department of Mathematics - Faculty of Science - University of Guilan
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 finite-dimensional top over the pullback of two discrete valuation domains with the same residue field is given
Keywords :
Pullback , separated , non-separated , 2-absorbing comultiplication module
Journal title :
International Electronic Journal of Algebra
