[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2020.028

REMARKS ON WEAK REVERSIBILITY-OVER-CENTER

Chen, Hongying (Department of Mathematics, Pusan National University)
Lee, Yang (Department of Mathematics, Yanbian University)
Piao, Zhelin (Department of Mathematics, Yanbian University)

Publication Information

East Asian mathematical journal / v.36, no.3, 2020 , pp. 417-424 More about this Journal

Abstract

Huang et al. proved that the n by n upper triangular matrix ring over a domain is weakly reversible-over-center by using the property of regular matrices. In this article we provide a concrete proof which is able to be available in the related study of centers. Next we extend an example of weakly reversible-over-center, which was argued by Huang et al., to the general case.

Keywords

weakly reversible-over-center ring; center; reduced ring; matrix ring;

Citations & Related Records

Times Cited By KSCI : 4 (Citation Analysis)

Reference
Cited By KSCI

1	R. Antoine, Nilpotent elements and Armendariz rings, J. Algebra 319 (2008), 3128-3140. DOI
2	K.J. Choi, T.K. Kwak, Y. Lee, Reversibility and symmetry over centers, J. Korean Math. Soc. 56 (2019), 723-738. DOI
3	J. Huang, H.-l. Jin, T.K. Kwak, Y. Lee, and Z. Piao, Remarks on centers of rings, Algebra Colloq. (To appear).
4	T.K Kwak, Y. Lee, Y. Seo, On commutativity of regular products, Bull. Korean Math. Soc. 55 (2018) 1713-1726. DOI