Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On modules over group rings of soluble groups with commutative ring of scalars
Репозиторій DSpace/Manakin
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On modules over group rings of soluble groups with commutative ring of scalars
Інший ID:
2000 Mathematics Subject Classification:20F16; 20H25.
Посилання:
On modules over group rings of soluble groups with commutative ring of scalars / O.Yu. Dashkova // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 51–63. — Бібліогр.: 8 назв. — англ.
Дата:
2010
Переглядів:
383
Завантажень:
132
Анотація:
The author studies an RG-module A such that R is a commutative ring, A/CA(G) is not a Noetherian R-module, CG(A)=1, G is a soluble group. The system of all subgroups H≤G, for which the quotient modules A/CA(H) are not Noetherian R-modules, satisfies the maximal condition. This condition is called the condition max−nnd. The structure of the group G is described.
