Modules whose endomorphism rings are fusible
COMMUNICATIONS IN ALGEBRA, cilt.54, sa.1, ss.212-225, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 54 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.1080/00927872.2025.2522900
- Dergi Adı: COMMUNICATIONS IN ALGEBRA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.212-225
- Ankara Üniversitesi Adresli: Evet
Özet
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.