COTORSION DIMENSIONS OVER GROUP RINGS
Publish place: Journal of Algebraic Systems، Vol: 7، Issue: 1
Publish Year: 1398
Type: Journal paper
Language: English
View: 496
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Document National Code:
JR_JAS-7-1_002
Index date: 9 July 2019
COTORSION DIMENSIONS OVER GROUP RINGS abstract
Let $Gamma$ be a group, $Gamma $ a subgroup of $Gamma$ with finite index and $M$ be a $Gamma$-module. We show that $M$ is cotorsion if and only if it is cotorsion as a $Gamma $-module. Using this result, we prove that the global cotorsion dimensions of rings $ZGamma$ and $ZGamma $ are equal.
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COTORSION DIMENSIONS OVER GROUP RINGS authors
A. Hajizamani
Department of Mathematics, University of Hormozgan, P.O. Box ۳۹۹۵, Bandarabbas, Iran.