Some remarks on multiplication and projective modules

被引：21
|
作者：
Ali, MM [1 ]
Smith, DJ
机构：
[1] Sultan Qaboos Univ, Dept Math, Muscat, Oman
[2] Univ Auckland, Dept Math, Auckland, New Zealand
来源：
COMMUNICATIONS IN ALGEBRA | 2004年 / 32卷 / 10期
关键词：
multiplication module; projective module; pure ideal; trace of a module;
D O I：
10.1081/AGB-200027780
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The associated ideal theta(M) and the trace ideal T(M) of a module M play analogous but distinct roles in the study of multiplication and projective modules respectively. We further investigate both and show in particular that faithful multiplication and projective modules have common properties. We use a method based on Anderson's characterizations of multiplication modules which enables new proofs of theorems on multiplication modules of El Bast, Low, Smith and Smith, and then, also enables similar results for projective modules.
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页码：3897 / 3909
页数：13
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