Comultiplication submodules of multiplication modules

Majid M. Ali*, Fatma Al Kharousi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

All rings are commutative with identity, and all modules are unital. The purpose of this work is to investigate comultiplication submodules of multiplication modules. Various properties of this class of submodules are considered. Sufficient conditions for the sum and intersection of a finite collection of comultiplication submodules to be a comultiplication submodule are also given.

Original languageEnglish
Pages (from-to)4832-4845
Number of pages14
JournalCommunications in Algebra
Volume48
Issue number11
DOIs
Publication statusPublished - Nov 1 2020

Keywords

  • Coidempotent submodules
  • comultiplication submodules
  • copure submodules
  • multiplication modules

ASJC Scopus subject areas

  • Algebra and Number Theory

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