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Ring Theory Session of the fourth joint meeting of the American Mathematical Society and the Sociedad Matematica Mexicana
May 19-22, 1999
University of North Texas
Denton, TX, USA

Organizers
Ricardo Alfaro, Carlos Signoret, Sergio R. Lopez-Permouth

View Abstracts

\pi-regularity of band graded rings, Munn rings and inverse semigroup rings
by
Hema Gopalakrishnan
Texas A&M University

Let S be a semigroup and let R=\sum\alpha in SR\alpha be a strong S-graded ring. If S is a normal band, we show that R is \pi-regular of bounded index if and only if each R\alpha is \pi-regular of index <= k for a fixed positive integer k. An extension of this result to rings graded by regular bands and Clifford semigroups will be presented.

For Munn rings and inverse semigroup rings the problem of characterizing \pi-regularity is reduced to the case of group rings.

http://www.math.tamu.edu/~hema.gopalakrishnan

Date received: March 24, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabz-16.