Open Access
February 2015 On coretractable modules
Derya KESKİN TÜTÜNCÜ, Berke KALEBO~GAZ
Hokkaido Math. J. 44(1): 91-99 (February 2015). DOI: 10.14492/hokmj/1470052355

Abstract

Let R be any ring. We prove that every right R-module is coretractable if and only if R is right perfect and every right R-module is small coretractable if and only if all torsion theories on R are cohereditary. We also study mono-coretractable modules. We show that coretractable modules are a proper generalization of mono-coretractable modules.

Citation

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Derya KESKİN TÜTÜNCÜ. Berke KALEBO~GAZ. "On coretractable modules." Hokkaido Math. J. 44 (1) 91 - 99, February 2015. https://doi.org/10.14492/hokmj/1470052355

Information

Published: February 2015
First available in Project Euclid: 1 August 2016

zbMATH: 1352.16005
MathSciNet: MR3532102
Digital Object Identifier: 10.14492/hokmj/1470052355

Subjects:
Primary: 16D40 , 16D80

Keywords: Coretractable module , Kasch module

Rights: Copyright © 2015 Hokkaido University, Department of Mathematics

Vol.44 • No. 1 • February 2015
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