On the K-theory of truncated polynomial rings in non-commuting variables

Vigleik Angeltveit

doi:10.1112/blms/bdv049

On the K-theory of truncated polynomial rings in non-commuting variables

Vigleik Angeltveit^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We compute the algebraic K-theory of the non-commutative ring k x₁, x_n (m^a) when + is a perfect field of positive characteristic and m=(x₁, x_n). We express the answer in terms of the truncation poset Witt vectors developed in Angeltveit ['Witt vectors and truncation posets', Preprint, 2014, arXiv:1409.4156].

Original language	English
Pages (from-to)	731-742
Number of pages	12
Journal	Bulletin of the London Mathematical Society
Volume	47
Issue number	5
DOIs	https://doi.org/10.1112/blms/bdv049
Publication status	Published - 2014

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abstract = "We compute the algebraic K-theory of the non-commutative ring k x1, xn (ma) when + is a perfect field of positive characteristic and m=(x1, xn). We express the answer in terms of the truncation poset Witt vectors developed in Angeltveit ['Witt vectors and truncation posets', Preprint, 2014, arXiv:1409.4156].",

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On the K-theory of truncated polynomial rings in non-commuting variables

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