Kernels of homomorphisms between uniform quasi-injective modules
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.21, sa.08, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 21 Sayı: 08
- Basım Tarihi: 2022
- Doi Numarası: 10.1142/s0219498822501584
- Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Anahtar Kelimeler: Monogeny class, semilocal ring, direct-sum decompositions, Krull-Schmidt theorem, semilocal category, preadditive category, DIRECT SUMS
- Gazi Üniversitesi Adresli: Evet
Özet
In this paper, we study the behavior of endomorphism rings of indecomposable (uniform) quasi-injective modules. A very natural question here is, for a morphism f : A -> B, with A, B indecomposable (uniform) quasi-injective right R-modules, and g : E(A) -> E(B) an extension of f where E(-) denotes the injective hull, what is the relation between kernels of f and g, their monogeny classes and their upper parts?