Multiplication modules and a theorem of P. F. Smith

Majid M. Ali, David J. Smith

Research output: Contribution to journalArticle

Abstract

P. F. Smith [7, Theorem 8] gave sufficient conditions on a finite set of modules for their sum and intersection to be multiplication modules. We give sufficient conditions on an arbitrary set of multiplication modules for the intersection to be a multiplication module. We generalize Smith's theorem, and we prove conditions on sums and intersections of sets of modules sufficient for them to be multiplication modules.

Original languageEnglish
Pages (from-to)127-135
Number of pages9
JournalPeriodica Mathematica Hungarica
Volume44
Issue number2
Publication statusPublished - 2002

Keywords

  • Multiplication ideal
  • Multiplication module

ASJC Scopus subject areas

  • Mathematics(all)

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