Original Article
Kyungpook Mathematical Journal 2011; 51(3): 283-291
Published online September 23, 2011
Copyright © Kyungpook Mathematical Journal.
On a Class of Semicommutative Rings
Tahire Özen, Nazim Agayev, Abdullah Harmanci
1Department of Mathematics, Abant Izzet Baysal University, Bolu, Turkey
2Department of Computer Engineering, University of Lefke, Cyprus
3Department of Maths, Hacettepe University, 06550 Ankara, Turkey
Received: September 23, 2011; Revised: September 23, 2011; Accepted: September 23, 2011
In this paper, a generalization of the class of semicommutative rings is investigated. A ring $R$ is called central semicommutative if for any $a,bin R$, $ab=0$ implies $arb$ is a central element of $R$ for each $rin R$. We prove that some results on semicommutative rings can be extended to central semicommutative rings for this general settings.
Keywords: semicommutative rings, weakly semicommutative rings, reduced rings