Some ranks of modules over group rings

Victor A. Bovdi, Leonid A. Kurdachenko

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


A commutative ring R has finite rank r, if each ideal of R is generated at most by r elements. A commutative ring R has the r-generator property, if each finitely generated ideal of R can be generated by r elements. Such rings are closely related to Prüfer domains. In the present paper, we investigate some analogs of these concepts for modules over group rings.

Original languageEnglish
Pages (from-to)1225-1234
Number of pages10
JournalCommunications in Algebra
Issue number3
Publication statusPublished - 2020


  • Dedekind domain
  • Prüfer domain
  • module over ring
  • special rank

ASJC Scopus subject areas

  • Algebra and Number Theory


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