POOR MODULES: THE OPPOSITE OF INJECTIVITY

Adel N. Alahmadi; Mustafa Alkan; Sergio Lopez-Permouth

doi:10.1017/S001708951000025X

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POOR MODULES: THE OPPOSITE OF INJECTIVITY

Journal article

Open access

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POOR MODULES: THE OPPOSITE OF INJECTIVITY

Adel N. Alahmadi, Mustafa Alkan and Sergio Lopez-Permouth

Glasgow mathematical journal, Vol.52A(A), pp.7-17

01/07/2010

DOI: https://doi.org/10.1017/S001708951000025X

Abstract

Mathematics

Physical Sciences

Science & Technology

A module M is called poor whenever it is N-injective, then the module N is semisimple. In this paper the properties of poor modules are investigated and are used to characterize various families of rings.

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Title: POOR MODULES: THE OPPOSITE OF INJECTIVITY
Creators - without role: Adel N. Alahmadi - King Abdulaziz University
Mustafa Alkan - Akdeniz University
Sergio Lopez-Permouth - Ohio University
Publication Details: Glasgow mathematical journal, Vol.52A(A), pp.7-17
Publisher: Cambridge Univ Press
Number of pages: 11
Identifiers: 9938539408331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article