On Semiregular Endomorphism Rings and the Dual of Yamagata's Theorem


KOŞAN M. T. , Quynh T. C.

ACTA MATHEMATICA VIETNAMICA, 2021 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2021
  • Doi Number: 10.1007/s40306-021-00444-z
  • Journal Name: ACTA MATHEMATICA VIETNAMICA
  • Journal Indexes: Emerging Sources Citation Index, Scopus, MathSciNet, zbMATH

Abstract

In this paper, we characterize a module whose endomorphism ring is delta-semiregular. For a right R-module M, we also obtained dual Yamagata's theorem on the set backward difference (delta) = {f is an element of End(M)vertical bar f(M) is delta small in M}.