Axiomatizability of homological classes of semimodules over semirings

被引：0
|
作者：
Katsov, Y. [1 ]
机构：
[1] Hanover Coll, Dept Math, Hanover, IN 47243 USA
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2020年 / 19卷 / 10期
关键词：
Projective and injective semimodules; axiomatizability of homological classes of (semi)modules over (semi)rings; PRODUCTS; RINGS;
D O I：
10.1142/S0219498820501820
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we characterize semirings over which classes of projective, strongly projective, free, and injective semimodules are axiomatizable. Together with injectivity, we consider the concepts of Baer-injectivity and e-injectivity for semimodules over semirings and illustrate possible relationships between axiomatizabilities of the corresponding injective classes of semimodules, as well as characterize semirings over which the class of e-injective semimodules is axiomatizable.
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页数：10
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