cotorsion dimensions over group rings
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نویسنده
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hajizamani ali
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منبع
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journal of algebraic systems - 2019 - دوره : 7 - شماره : 1 - صفحه:25 -32
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چکیده
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Let γ be a group, γ′ a subgroup of γ with finite index and m be a γ-module. we show that m is cotorsion if and only if it is cotorsion as a γ′-module. using this result, we prove that the global cotorsion dimensions of rings zγ and zγ′ are equal.
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کلیدواژه
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cotorsion dimension ,global cotorsion dimension ,perfect ring
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آدرس
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university of hormozgan, department of mathematics, iran
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پست الکترونیکی
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hajizamani@hormozgan.ac.ir
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