Principally Quasi-Injective Semimodules

被引：2

作者：

Aljebory, Khitam S. H. ^{[1
]}

Alhossaini, Assad M. A. ^{[1
]}

机构：

[1] Univ Babylon, Coll Educ Pure Sci, Babylon, Iraq

来源：

BAGHDAD SCIENCE JOURNAL | 2019年 / 16卷 / 04期

关键词：

Principally quasi-injective semimodules; (injective; quasi-injective); semimodules;

D O I：

10.21123/bsj.2019.16.4.0928

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this work, the notion of principally quasi- injective semimodule is introduced, discussing the conditions needed to get properties and characterizations similar or related to the case in modules. Let B be an R-semimodule with endomorphism semiring S. The semimodule B is called principally quasi-injective, if every R-homomorphism from any cyclic subsemimodule of B to B can be extended to an endomorphism of B.

引用

页码：928 / 936

页数：9

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