On commutative idempotent rings
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Published:1995
Issue:2
Volume:125
Page:341-349
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ISSN:0308-2105
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Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
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language:en
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Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Author:
Andruszkiewicz R. R.,Puczyłowski E. R.
Abstract
We study the problem when a ring which is an extension of a commutative idempotent ring by a commutative idempotent ring is commutative. In particular, we answer Sands' question showing that the class of commutative idempotent rings whose every homomorphic image has zero annihilator is a maximal but not the largest radical class consisting of commutative idempotent rings.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics
Reference3 articles.
1. Gabriel dimension and rings with involution;Lanski;Houston Math. J.,1978
Cited by
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