Multiplication modules and homogeneous idealization III

Research output: Contribution to journalArticle

Abstract

In our recent work we gave a treatment of certain aspects of multiplication modules, projective modules, flat modules and cancellation-like modules via idealization. The purpose of this work is to continue our study and develop the tool of idealization, particularly in the context of closed, divisible injective, and simple modules. We determine when a ring R (M), the idealization of M, is a quasi-Frobenius or a distinguished ring. We also introduce and investigate the concept of M-1/2 (weak) cancellation ideals.

Original languageEnglish
Pages (from-to)449-479
Number of pages31
JournalBeitrage zur Algebra und Geometrie
Volume49
Issue number2
Publication statusPublished - 2008

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Multiplication Module
Cancellation
Flat Module
Ring
Injective Module
Simple Module
Projective Module
Frobenius
Divisible
Continue
Closed
Module

Keywords

  • Closed submodule
  • Divisible module
  • Multiplication module
  • Quasi-Frobenius ring

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

Cite this

Multiplication modules and homogeneous idealization III. / Ali, Majid M.

In: Beitrage zur Algebra und Geometrie, Vol. 49, No. 2, 2008, p. 449-479.

Research output: Contribution to journalArticle

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