On Trivial Extensions of Morphic Rings, By Najmeh Dehghani

Research

Title	On Trivial Extensions of Morphic Rings
Type	Presentation
Keywords	Bimodule, morphic ring, quasi-morphic ring, trivial extension
Researchers	Niloufar Keshavarz (First researcher) , Najmeh Dehghani (Second researcher)

Abstract

The aim of this work is to study (quasi-)morphic property for the trivial extension R ∝ M of a bimodule M over a ring R. For instance, we show that if R is a commutative domain and ann R (x) = 0 for some x ∈ M, then R ∝ M is (quasi-)morphic if and o