Modules over some group rings, having d-generator property

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Ricerche Di Matematica

سال: 2021

ISSN: ['1827-3491', '0035-5038']

DOI: https://doi.org/10.1007/s11587-021-00581-5