Idealization and theorems of D. D. Anderson II

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Abstract

In our recent work we investigated Anderson's theorems and gave a treatment of certain aspects of multiplication modules and cancellation-like modules via idealization. The purpose of this work is to continue our study and develop the tool of idealization of modules, particularly in the context of flat modules.

Original languageEnglish
Pages (from-to)2767-2792
Number of pages26
JournalCommunications in Algebra
Volume35
Issue number9
DOIs
Publication statusPublished - Sep 2007

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Keywords

  • Flat module
  • Idealization
  • Multiplication module
  • Projective module
  • Prüfer ring
  • Pure submodule

ASJC Scopus subject areas

  • Algebra and Number Theory

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