On semirings whose simple semimodules are projective
- 作者: Il’in S.1
-
隶属关系:
- Lobachevskiĭ Institute of Mathematics and Mechanics
- 期: 卷 58, 编号 2 (2017)
- 页面: 215-226
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171055
- DOI: https://doi.org/10.1134/S0037446617020045
- ID: 171055
如何引用文章
详细
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.
作者简介
S. Il’in
Lobachevskiĭ Institute of Mathematics and Mechanics
编辑信件的主要联系方式.
Email: Sergey.Ilyin@kpfu.ru
俄罗斯联邦, Kazan
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