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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

On FI-extending Modules and Rings
by
S. Tariq Rizvi
The Ohio State University
Coauthors: Gary F. Birkenmeier, Bruno J. Mueller

Let R be an associative ring with identity. A submodule of a right R-module M is said to be fully invariant if it is invariant under all endomorphisms of M. M is said to be FI-extending if every fully invariant submodule of M is essential in a direct summand of M. A ring R is said to be right FI-extending if R is FI-extending as a right R-module. Obviously, every extending module is FI-extending while the converse is not true. We study FI-extending rings and modules and investigate their connections to some related concepts. Certain ring direct decompositions of FI-extending rings are also provided.

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-14.