Title: ON PRIME AND SEMIPRIME MODULES AND COMODULES
Abstract: In this paper we describe the structure of prime and semiprime R-modules M such that R/Ann R (M) is artinian. The obtained results are then applied to describe the structure of prime and semiprime right comodules over a coring C under some assumption, where a right comodule M is said to be prime (semiprime) if the corresponding left *C-module is prime (semiprime). Finally we apply the results to coalgebras over commutative rings.
Publication Year: 2006
Publication Date: 2006-10-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 11
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