Abstract
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 language | English |
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Pages (from-to) | 1225-1234 |
Number of pages | 10 |
Journal | Communications in Algebra |
Volume | 49 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2020 |
Keywords
- Dedekind domain
- Prüfer domain
- module over ring
- special rank
ASJC Scopus subject areas
- Algebra and Number Theory