t-Extending Krasner Hypermodules

被引：0

作者：

Turkmen, Burcu Nisanci ^{[1
]}

机构：

[1] Amasya Univ, Fac Art & Sci, Dept Math, Amasya, Turkey

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2022年 / 40卷

关键词：

Direct summand; t-extending hypermodule; t-essential subhypermodule;

D O I：

10.5269/bspm.51589

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a hypermodule over a hyperring R such that the intersection of any two subhypermodules of M is a subhypermodule of M. We introduce the concept of a t-essential subhypermodule in M relative to an arbitrary subhypermodule T of M, which is called T-t-essential subhypermodule of M. Our aim in this work is to investigate properties of t-essential subhypermodules. We apply this concept to introduce t-extending hypermodules. Examples are provided to illustrate different concepts.

引用

页数：6

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