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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

Projective modules over semilocal rings
by
Alberto Facchini
Dipartimento di Matematica e Informatica, Università di Udine, Udine, Italy

For a ring R let J(R) denote the Jacobson radical of R. A ring R is semilocal if R/J(R) is semisimple artinian. For instance, the endomorphism ring of any artinian module over any ring is semilocal. We have characterized the commutative semigroups with zero which can be realized as the semigroup of all isomorphism classes of finitely generated projective modules over a semilocal ring. They are the so called ``full affine semigroups'', that is, the semigroups isomorphic to the intersections G \cap Nn of Nn with a subgroup G of Zn for some integer n > 0. This has been proved in a joint paper by A. Facchini and D. Herbera.

Date received: March 2, 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-02.