Title of article :
Central CNZ Rings
Author/Authors :
Kose, Handan Department of Mathematics - Ahi Evran University Kirsehir, Turkey , Harmancı, Abdullah Department of Mathematics - Hacettepe University, Turkey
Abstract :
In this note, we introduce the concept of central CNZ rings, which is a generalization of CNZ
rings [1]. A ring R is called central CNZ if for any a, b ∈ nil(R), ab = 0 implies that ba is central, where
nil(R) is the set of all nilpotent elements in R. We investigate the structure of central CNZ rings and their
related properties.
Keywords :
CNZ ring , reversible ring , central reversible ring , Armendariz ring
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
