On modules over group rings of soluble groups with commutative ring of scalars

• Published in: Algebra and Discrete Mathematics
• Date: 2010
• Main Author: Dashkova, O.Yu.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154664
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 calle...