2018/11/26 by William Woods, Woods, William
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA
paper · pdf · doi:10.48550/arxiv.1811.10584
arxiv created 2018/11/26 · arxiv updated 2018/11/27
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.