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arXiv · 1811.10584

Dimension theory in iterated local skew power series rings

William Woods
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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.

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William Woods. 2018-11-26. Dimension theory in iterated local skew power series rings. https://arxiv.org/abs/1811.10584

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