On semirings whose simple semimodules are projective

被引：1
|
作者：
Il'in, S. N. [1 ]
机构：
[1] Kazan Volga Reg Fed Univ, Lobachevskii Inst Math & Mech, Kazan, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2017年 / 58卷 / 02期
关键词：
simple semimodule; projective semimodule; V-semiring; V*-semiring; V-SEMIRINGS;
D O I：
10.1134/S0037446617020045
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the semirings whose simple semimodules are all projective. In particular, we establish that for every semiring S this condition implies the injectivity of all simple S-semimodules and show that, in contrast to the case of rings, the projectivity of all simple semimodules in general is not a left-right symmetric property.
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页码：215 / 226
页数：12
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