Direct products of modules whose endomorphism rings have at most two maximal ideals

Adel Alahmadi; Alberto Facchini

doi:10.1016/j.jalgebra.2015.04.002

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Direct products of modules whose endomorphism rings have at most two maximal ideals

Journal article

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Direct products of modules whose endomorphism rings have at most two maximal ideals

Adel Alahmadi and Alberto Facchini

Journal of algebra, Vol.435, pp.204-222

01/08/2015

DOI: https://doi.org/10.1016/j.jalgebra.2015.04.002

Abstract

Direct-product decomposition

Epigeny class

Monogeny class

Uniserial module

Monogeny classes and epigeny classes have proved to be useful in the study of direct sums of uniserial modules and other classes of modules. In this paper, we show that they also turn out to be useful in the study of direct products.

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Title: Direct products of modules whose endomorphism rings have at most two maximal ideals
Creators - without role: Adel Alahmadi - King Abdulaziz University
Alberto Facchini - University of Padua
Publication Details: Journal of algebra, Vol.435, pp.204-222
Publisher: Elsevier Inc
Grant note: Università di Padova Fondazione Cassa di Risparmio di Padova e Rovigo (http://dx.doi.org/10.13039/100007479)
Identifiers: 9936390308331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article