Generalized SSP-modules

Tasdemir O., KARABACAK F.

COMMUNICATIONS IN ALGEBRA, vol.48, no.3, pp.1068-1078, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 3
  • Publication Date: 2020
  • Doi Number: 10.1080/00927872.2019.1677685
  • 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
  • Page Numbers: pp.1068-1078
  • Keywords: Direct summand, GSSP, injective module, SSP, SUMMAND, RINGS
  • Anadolu University Affiliated: Yes

Abstract

We say an R-module M has the generalized summand sum property (GSSP), if the sum of any two direct summands is isomorphic to a direct summand of M. This is dual notion to the generalized summand intersection property of modules, and also the class of modules having the GSSP is a proper generalization of the class of modules having the SSP. In this note, the characterization of this property over rings and modules is investigated.