Resolutions for Truncated Ore Extensions
Abstract
We extend recent results in order to construct projective resolutions for modules over twisted
tensor products of truncated polynomial rings. We begin by taking note of the conditions necessary
to think of these algebras as a type of Ore extension. We then use this parallel with Ore extensions
to develop a method for constructing projective resolutions. Finally we use the new construction
to compute a resolution for a family of examples.
Subject
Ore ExtensionCitation
McPhate, Dustin C. (2021). Resolutions for Truncated Ore Extensions. Doctoral dissertation, Texas A&M University. Available electronically from https : / /hdl .handle .net /1969 .1 /195697.