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On Modules Having Small Cofinite Irreducibles

Published online by Cambridge University Press:  20 November 2018

E. W. Johnson ,
Johnny A. Johnson  and
Monty B. Taylor
E. W. Johnson
Affiliation:
Department of Mathematics, University of Iowa Iowa City, Iowa 55242 U.S.A.
Johnny A. Johnson
Affiliation:
Department of Mathematics, University of Houston Houston, Texas 77204 U.S.A.
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Abstract

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In this paper we obtain several new characterizations of modules having small cofinite irreducibles. One of these characterizations involves a metric topology defined on the submodule lattice.

Keywords

13C0513E05moduleslocal ringssubmodules
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 4 , 01 December 1994 , pp. 490 - 494
Copyright
Copyright © Canadian Mathematical Society 1994

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