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.

引用

页码：681 / 694

页数：14

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