Modules whose endomorphism rings are fusible
Communications in Algebra, vol.54, no.1, pp.212-225, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 54 Issue: 1
- Publication Date: 2026
- Doi Number: 10.1080/00927872.2025.2522900
- Journal Name: Communications in Algebra
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Page Numbers: pp.212-225
- Keywords: Endofusible module, fusible endomorphism, fusible ring, zero-divisor
- Hacettepe University Affiliated: Yes
Abstract
Motivated by fusible elements in rings, we study the concept of fusibility of endomorphisms of a module. As an application, we provide an algorithm to find left fusible decompositions of non-zero square matrices over a left fusible ring, since the algorithm given in [E. Ghashghaei and W. Wm. McGovern, Comm. Algebra, 45(3)(2017), Theorem 2.18] does not apply to find a fusible decomposition of some matrices. Furthermore, we provide various sources of examples for fusible endomorphisms. Using fusible endomorphisms, we determine conditions under which the corner ring eRe of a ring R is fusible.