COMMUNICATIONS IN ALGEBRA, vol.48, no.3, pp.1068-1078, 2020 (SCI-Expanded)
Article / Article
COMMUNICATIONS IN ALGEBRA
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
Direct summand, GSSP, injective module, SSP, SUMMAND, RINGS
Anadolu University Affiliated:
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.