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Simple Divisible Modules Over Integral Domains

Published online by Cambridge University Press:  20 November 2018

Alberto Facchini
Alberto Facchini*
Affiliation:
Dipartimento di Matematica e Informatica, Universita' di Udine, 33100 Udine, Italy
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Abstract

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An R-module is a simple divisible module if it is a nonzero divisible module that has no proper non-zero divisible submodules. We study simple divisible modules and their endomorphism rings, give some examples and determine all simple divisible modules over some classes of rings.

Keywords

13C1313G05Divisible modulesModules over integral domains
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 2 , 01 June 1989 , pp. 230 - 240
Copyright
Copyright © Canadian Mathematical Society 1989

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