Some curiosities of the algebra of bounded Dirichlet series
Complex Variables
2015-11-04 v1 Commutative Algebra
K-Theory and Homology
Number Theory
Abstract
It is shown that the algebra of bounded Dirichlet series is not a coherent ring, and has infinite Bass stable rank. As corollaries of the latter result, it is derived that the algebra of bounded Dirichlet series has infinite topological stable rank and infinite Krull dimension.
Keywords
Cite
@article{arxiv.1511.00822,
title = {Some curiosities of the algebra of bounded Dirichlet series},
author = {Raymond Mortini and Amol Sasane},
journal= {arXiv preprint arXiv:1511.00822},
year = {2015}
}
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8 pages