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Q-Divisible Modules

Published online by Cambridge University Press:  20 November 2018

Efraim P. Armendariz
Efraim P. Armendariz*
Affiliation:
The University of Texas at Austin, Austin, Texas
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Let R be a ring with 1 and let Q denote the maximal left quotient ring of R [6]. In a recent paper [12], Wei called a (left). R-module M divisible in case HomR (Q, N)≠0 for each nonzero factor module N of M. Modifying the terminology slightly we call such an R-module a Q-divisible R-module. As shown in [12], the class D of all Q-divisible modules is closed under factor modules, extensions, and direct sums and thus is a torsion class in the sense of Dickson [5].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 4 , December 1971 , pp. 491 - 494
Copyright
Copyright © Canadian Mathematical Society 1971

References

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