Davenport constant for commutative rings
Group Theory
2016-02-11 v1 Commutative Algebra
Combinatorics
Abstract
The Davenport constant is one measure for how "large" a finite abelian group is. In particular, the Davenport constant of an abelian group is the smallest such that any sequence of length is reducible. This definition extends naturally to commutative semigroups, and has been studied in certain finite commutative rings. In this paper, we give an exact formula for the Davenport constant of a general commutative ring in terms of its unit group.
Keywords
Cite
@article{arxiv.1602.03445,
title = {Davenport constant for commutative rings},
author = {Calvin Deng},
journal= {arXiv preprint arXiv:1602.03445},
year = {2016}
}
Comments
17 pages + 1 page of references