Modules over some group rings having d-generator property
Commutative Algebra
2021-04-12 v1 Rings and Algebras
Representation Theory
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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Cite
@article{arxiv.2104.04185,
title = {Modules over some group rings having d-generator property},
author = {V. A. Bovdi and L. A. Kurdachenko},
journal= {arXiv preprint arXiv:2104.04185},
year = {2021}
}
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11 pages