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.
2010 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgment
We would like to express our deep gratitude to the referee for the thoughtful and constructive review of our manuscript.