Injective hulls of acts over left zero semigroups

被引：10
|
作者：
Ebrahimi, M. M. [1 ]
Mahmoudi, M.
Angizan, Gh. Moghaddasi
机构：
[1] Shahid Beheshti Univ Med Sci, Dept Math, Tehran 19839, Iran
[2] Shahid Beheshti Univ Med Sci, Ctr Excellence Algebra & Log Struct Discrete Math, Tehran 19839, Iran
[3] Sabzevar Teachers Training Univ, Sabzevar, Iran
来源：
SEMIGROUP FORUM | 2007年 / 75卷 / 01期
关键词：
S-act; Cauchy sequence; injective; essential;
D O I：
10.1007/s00233-007-0722-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using the notion of "Cauchy sequences", we study the injectivity of acts over left zero semigroups, and give some equivalent conditions to it. We see that Baer criterion is true if an identity is adjoined to the semigroup. Further, we find injective hulls of acts over left zero semigroups. We hope that the technique used here will be useful to study injectivity of acts over some other more general semigroups.
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页码：212 / 220
页数：9
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