ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXVI, 2 (2007)
p. 189 - 192
On Weakly Reversible Rings
Zhao Liang and Yang Gang

Abstract.  Let R be a ring. We introduce weakly reversible rings, which are a generalization of reversible rings, and investigate their properties. Moreover, we show that a ring R is weakly reversible if and only if for any n, the n-by-n upper triangular matrix ring Tn(R) is weakly reversible. Also some kinds of examples needed in the process are given.

Keywords:  reversible rings, weakly reversible rings, semicommutative rings.

AMS Subject classification.  Primary: 16S50, 16U80.
Download:     Adobe PDF     Compressed Postscript      

Version to read:     Adobe PDF

Acta Mathematica Universitatis Comenianae
Faculty of Mathematics, Physics and Informatics
Comenius University
842 48 Bratislava, Slovak Republic  
Telephone: + 421-2-60295755 Fax: + 421-2-65425882  
e-Mail: amuc@fmph.uniba.sk   Internet: www.iam.fmph.uniba.sk/amuc

© Copyright 2007, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE