Prime rings for which the set of nonzero ideals is a special class-Reference-Cited by-同舟云学术

Prime rings for which the set of nonzero ideals is a special class

Published:1991-08 Issue:1 Volume:51 Page:27-32
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Gardner B. J.

Abstract

AbstractWe show that the rings described in the title are precisely the indecomposable injectives for the category whose objects are the associative rings and whose morphisms are the ring homomorphisms with accessible images. These rings are more or less completely known. Those of cardinality greater than that of the continuum are subdirectly irreducible but there are some nontrivial principal ideal domains in the class.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference6 articles.

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3. Radicals of associative rings I;Andrunakievič;Amer. Math. Soc. Transl.,1966

4. Injectives for ring monomorphisms with accessible images

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