Locally PI but not PI Division Rings of Arbitrary GK-Dimension

2018/03/26 by J. C. McConnell, Adrian R. Wadsworth, McConnell, J. C. +1
Mathematics · #Rings, Modules, and Algebras #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1803.09423

Abstract

We give examples of locally PI but not PI division rings of GK-dimension n for every positive integer n.

Related

• A survey of s-unital and locally unital rings
• On weakly locally finite division rings
• Uncountable n-Dimensional Excellent Regular Local Rings with Countable Spectra
• Uniform arithmetic in local rings via ultraproducts
• Linear groups over a locally linear division ring