ON WEAK PROJECTION INVARIANT EXTENDING MODULES


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KARA ŞEN Y.

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, vol.75, no.6, pp.785-794, 2022 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 75 Issue: 6
  • Publication Date: 2022
  • Doi Number: 10.7546/crabs.2022.06.01
  • Journal Name: COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
  • Journal Indexes: Science Citation Index Expanded, Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
  • Page Numbers: pp.785-794
  • Keywords: extending module, projection invariant submodule, exchange property

Abstract

We introduce the notion of weak pi-extending modules which is a proper generalization of pi-extending and weak CS-modules. Several characterizations and connections between weak pi-extending modules and related concepts are obtained. Direct sums and direct summand properties are also provided. Moreover, we investigate when the former class has an indecomposable decomposition and exchange properties.