ON PRIME AND SEMIPRIME MODULES AND COMODULES

被引：5
|
作者：
Ferrero, Miguel [1 ]
Rodrigues, Virginia [2 ]
机构：
[1] Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil
[2] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2006年 / 5卷 / 05期
关键词：
Prime modules; prime comodules; semiprime modules; semiprime comodules; corings; coalgebras;
D O I：
10.1142/S0219498806001946
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：681 / 694
页数：14
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