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.

引用

页码：215 / 226

页数：12

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