Dimension theory in iterated local skew power series rings
Rings and Algebras
2018-11-27 v1 Quantum Algebra
Abstract
By analysing the structure of the associated graded ring with respect to certain filtrations, we deduce a number of good properties of iterated local skew power series rings over appropriate base rings. In particular, we calculate the Krull dimension, prime length and global dimension in well-behaved cases, obtaining lower bounds to complement the upper bounds obtained by Venjakob and Wang.
Keywords
Cite
@article{arxiv.1811.10584,
title = {Dimension theory in iterated local skew power series rings},
author = {William Woods},
journal= {arXiv preprint arXiv:1811.10584},
year = {2018}
}