On morphic modules over commutative rings

被引：1

作者：

Bouba, El Mehdi ^{[1
]}

Tamekkante, Mohammed ^{[2
]}

Tekir, Unsal ^{[3
]}

Koc, Suat ^{[4
]}

机构：

[1] Mohammed First Univ, Team Modeling & Sci Comp, Pluridisciplinary Fac, Math Dept, BP 300, Selouane 62700, Nador, Morocco

[2] Univ Moulay Ismail Meknes, Fac Sci, Dept Math, Box 11201, Zitoune, Morocco

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

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

来源：

BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2024年 / 65卷 / 01期

关键词：

Comorphic ring; Comorphic module;

D O I：

10.1007/s13366-022-00672-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A commutative ring R is said to be a morphic ring if for each a is an element of R there exists b is an element of R such that ann(a) = Rb and ann(b) = Ra. In this paper, we extend the notion of morphic rings to modules and we study the introduced concept by comparing it with some related notions.

引用

页码：1 / 11

页数：11

共 14 条

[1] Comorphic rings [J].

Alkan, M. ;

Nicholson, W. K. ;

Ozcan, A. C. .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 17 (04)

[2]

Atiyah M. F., 1969, Introduction to Commutative Algebra

[3] Quasi-morphic rings [J].

Camillo, V. ;

Nicholson, W. K. .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2007, 6 (05) :789-799

[4] Locally torsion-free modules [J].

Jayaram, C. ;

Ugurlu, Emel Aslankarayigit ;

Tekir, Unsal ;

Koc, Suat .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (05)

[5] von Neumann regular modules [J].

Jayaram, C. ;

Tekir, Unsal .

COMMUNICATIONS IN ALGEBRA, 2018, 46 (05) :2205-2217

[6] ON BAER MODULES [J].

Jayaram, Chillumuntala ;

Tekir, Unsal ;

Koc, Suat .

REVISTA DE LA UNION MATEMATICA ARGENTINA, 2022, 63 (01) :109-128

[7] Quasi regular modules and trivial extension [J].

Jayaram, Chillumuntala ;

Tekir, Unsal ;

Koc, Suat .

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (01) :120-134

[8]

KIST J, 1963, P LOND MATH SOC, V13, P31, DOI DOI 10.1112/PLMS/S3-13.1.31

[9]

Lee T.-K., 2004, Lecture Notes in Pure and Applied Mathematics, V236, P365

[10] Morphic modules [J].

Nicholson, WK ;

Campos, ES .

COMMUNICATIONS IN ALGEBRA, 2005, 33 (08) :2629-2647

← 1 2 →