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arXiv · 2104.04185

Modules over some group rings having d-generator property

V. A. Bovdi·L. A. Kurdachenko
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Abstract

For modules over group rings we introduce the following numerical parameter. We say that a module A over a ring R has finite r-generator property if each f.g. (finitely generated) R-submodule of A can be generated exactly by r elements and there exists a f.g. R-submodule D of A, which has a minimal generating subset, consisting exactly of r elements. Let FG be the group algebra of a finite group G over a field F. In the present paper modules over the algebra FG having finite generator property are described.

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V. A. Bovdi, L. A. Kurdachenko. 2021-04-09. Modules over some group rings having d-generator property. https://arxiv.org/abs/2104.04185

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