Subrings of endomorphism rings associated with right minimal morphisms


Tütüncü D. K.

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

  • Publication Type: Article / Article
  • Publication Date: 2023
  • Doi Number: 10.1080/00927872.2023.2180011
  • Journal Name: Communications in Algebra
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Automorphism-coinvariant, endomorphism ring, right minimal morphism
  • Hacettepe University Affiliated: Yes

Abstract

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).