Modules over some group rings, having d-generator property

V. A. Bovdi, L. A. Kurdachenko

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)135-145
Number of pages11
JournalRicerche di Matematica
Volume71
Issue number1
DOIs
Publication statusPublished - Jun 2022

Keywords

  • module over a group ring
  • r-generator property
  • width of a module

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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