Some remarks on multiplication and flat modules

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3 Citations (Scopus)

Abstract

The purpose of this work is to study some properties of multiplication modules and flat modules. We give some properties of multiplication modules that characterize arithmetical rings. We investigate Ohm type properties for multiplication and flat modules, and we also characterize F-modules and FGP-modules.

Original languageEnglish
Pages (from-to)1-27
Number of pages27
JournalJournal of Commutative Algebra
Volume4
Issue number1
DOIs
Publication statusPublished - 2012

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Keywords

  • F-module
  • FGP-module
  • Flat module
  • Multiplication module
  • Nilpotent submodule
  • Projective module
  • Pure submodule

ASJC Scopus subject areas

  • Algebra and Number Theory

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