Kernels of homomorphisms between uniform quasi-injective modules

KOŞAN M. T., Truong Cong Quynh T. C. Q., Zemlicka J.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.21, sa.08, 2022 (SCI-Expanded) identifier identifier

  • 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?