Article
Kyungpook Mathematical Journal 2021; 61(3): 461-472
Published online September 30, 2021
Copyright © Kyungpook Mathematical Journal.
On Axis-commutativity of Rings
Tai Keun Kwak, Yang Lee, Young Joo Seo*
Department of Mathematics, Daejin University, Pocheon 11159, Korea
e-mail : tkkwak@daejin.ac.kr
Department of Mathematics, Yanbian University, Yanji 133002, China and Institute of Basic Science, Daejin University, Pocheon 11159, Korea
e-mail : ylee@pusan.ac.kr
Department of Mathematics, Daejin University, Pocheon 11159, Korea
e-mail : jooggang@daejin.ac.kr
Received: August 23, 2020; Revised: April 29, 2020; Accepted: May 18, 2021
We study a new ring property called axis-commutativity. Axis-commutative rings are seated between commutative rings and duo rings and are a generalization of division rings. We investigate the basic structure and several extensions of axis-commutative rings.
Keywords: division ring, axis-commutative ring, commutative ring, duo ring, matrix ring.