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Fundamentalnaya i Prikladnaya Matematika, 2008, Volume 14, Issue 7, Pages 111–119
(Mi fpm1175)
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This article is cited in 3 scientific papers (total in 3 papers)
On a class of modules over group rings of soluble groups with restrictions on some systems of subgroups
O. Yu. Dashkova National University of Kyiv, Ukraine
Abstract:
The author studies a $\mathbf DG$-module $A$ such that $\mathbf D$ is a Dedekind domain, $A/C_A(G)$ is not an Artinian $\mathbf D$-module, $C_A(G)=1$, $G$ is a soluble group, and the system of all subgroups $H\leq G$ for which the quotient modules $A/C_A(H)$ are not Artinian $\mathbf D$-modules satisfies the minimum condition. The structure of $G$ is described.
Citation:
O. Yu. Dashkova, “On a class of modules over group rings of soluble groups with restrictions on some systems of subgroups”, Fundam. Prikl. Mat., 14:7 (2008), 111–119; J. Math. Sci., 164:2 (2010), 228–233
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https://www.mathnet.ru/eng/fpm1175 https://www.mathnet.ru/eng/fpm/v14/i7/p111
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Abstract page: | 393 | Full-text PDF : | 111 | References: | 54 | First page: | 1 |
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