Some ranks of modules over group rings
Commutative Algebra
2021-03-30 v1 Group Theory
Rings and Algebras
Representation Theory
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 Pr\"ufer domains. In the present paper we investigate some analogs of these concepts for modules over group rings.
Cite
@article{arxiv.2103.14825,
title = {Some ranks of modules over group rings},
author = {V. A. Bovdi and L. A. Kurdachenko},
journal= {arXiv preprint arXiv:2103.14825},
year = {2021}
}
Comments
10 pages