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All Ireland Algebra Days 2001
May 16-19, 2001
Queen's University Belfast
Belfast, Northern Ireland, UK

Organizers
Tom Laffey (Dublin), Des MacHale (Cork), Martin Mathieu (Belfast; Chair), Martin Newell (Galway)

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M-Injective Modules and Prime M-Ideals
by
John Beachy
Northern Illinois University

For a left R-module M we identify certain submodules of M that play a role analogous to that of prime ideals in the ring R. Using this definition, we investigate conditions on the module M which imply that there is a one-to-one correspondence between isomorphism classes of indecomposable M-injective modules and "prime M-ideals".

Date received: April 20, 2001

Copyright © 2001 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 # cage-36.