On generalized morphic modules

被引：0

作者：

Ceken, Secil ^{[1
]}

Tekir, Unsal ^{[2
]}

Koc, Suat ^{[3
]}

机构：

[1] Trakya Univ, Dept Math, Edirne, Turkiye

[2] Marmara Univ, Dept Math, TR-34722 Istanbul, Turkiye

[3] Istanbul Medeniyet Univ, Dept Math, Istanbul, Turkiye

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2025年 / 33卷 / 01期

关键词：

Baer ring; generalized morphic ring; Baer module; weak quasi regular module; generalized morphic module; RINGS;

D O I：

10.2478/auom-2025-0007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Aim of the present article is to extend generalized morphic ring to modules. Let R be a commutative ring with a unity and M an R-module. M is said to be a generalized morphic module if for each m is an element of M, there exists a is an element of R such that ann(R) (m) = (a) + ann(R) (M ), where (a) is the principal ideal generated by an element a is an element of R. Many examples and characterizations of generalized morphic modules are given. Moreover, as an application of generalized morphic modules, we use them to characterize Baer modules and principal ideal rings.

引用

页码：137 / 152

页数：16

共 23 条

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