AB5*-modules with the exchange property

Yasser Ibrahim, Mohamed Yousif

Research output: Contribution to journalJournal articlepeer-review

Abstract

We prove that every (Formula presented.) -module has an indecomposable decomposition. As an immediate consequence, every (Formula presented.) -module M with the finite exchange is clean and has the full exchange. Moreover, in this case the module M admits an indecomposable decomposition (Formula presented.) with each Mi having local endomorphism ring, and the decomposition complements direct summands.

Original languageEnglish
Pages (from-to)3255-3262
Number of pages8
JournalCommunications in Algebra
Volume49
Issue number8
DOIs
StatePublished - 2021

Keywords

  • AB -modules
  • clean
  • discrete rings and modules
  • exchange

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