Subrings of endomorphism rings associated with right minimal morphisms

Tütüncü D. K.

Communications in Algebra, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1080/00927872.2023.2180011
  • 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
  • Anahtar Kelimeler: Automorphism-coinvariant, endomorphism ring, right minimal morphism
  • Hacettepe Üniversitesi Adresli: Evet

Özet

Let (Formula presented.) be a right minimal epimorphism. We prove that there exists a ring isomorphism between two rings (Formula presented.) and (Formula presented.). We use this ring isomorphism to figure out the properties of (Formula presented.) from (Formula presented.) under the properties such as N is a fully coinvariant quotient of M (namely, (Formula presented.) is a fully invariant submodule of M), or when N is automorphism-covariant quotient of M (namely, (Formula presented.) is invariant under automorphisms of M).