شماره ركورد كنفرانس :
5101
عنوان مقاله :
On Trivial Extensions of Morphic Rings
پديدآورندگان :
Dehghani Najmeh Persian Gulf University , Keshavarz Niloufar Persian Gulf University
كليدواژه :
Bimodule , Morphic ring , Quasi , morphic ring , Trivial extension
عنوان كنفرانس :
پنجاه و يكمين كنفرانس رياضي ايران
چكيده فارسي :
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 annR(x) = 0 for some x 2 M, then R / M is (quasi-)morphic if and only if R is a eld and M ≃ R. Moreover, examples which illustrate our results will be provided.
