Modules whose endomorphism rings are fusible

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

COMMUNICATIONS IN ALGEBRA, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1080/00927872.2025.2522900
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • 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.