Fusible modules

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Baydar I., Üngör B., Halıcıoğlu S., Harmanci A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, no.3, pp.714-723, 2024 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Publication Date: 2024
• Doi Number: 10.15672/hujms.1206395
• Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
• Page Numbers: pp.714-723
• Ankara University Affiliated: Yes

Abstract

In this paper, we extend the concept of fusibility to the module -theoretic setting by introducing fusible modules. Let R be a ring with identity, M a right R -module and 0 =6 m E M . Then, m is called fusible if it can be expressed as the sum of a torsion element and a torsionfree element in M . The module M is said to be fusible if every non -zero element of M is fusible. We investigate some properties of fusible modules. It is proved that the class of fusible modules is between the classes of torsion -free and nonsingular modules.