Dimension of noncommutative plane curves

Søren Jøndrup

doi:10.1142/S0219498819500579

Dimension of noncommutative plane curves

Søren Jøndrup^*

^*Corresponding author for this work

Department of Mathematical Sciences

Abstract

In this paper, we prove that an algebra of the form k(x,y)/(f) is never right (or left) artinian in case (f) is a proper ideal and k is an uncountable, algebraically closed field of characteristic 0.

Original language	English
Article number	1950057
Journal	Journal of Algebra and its Applications
Volume	18
Issue number	3
ISSN	0219-4988
DOIs	https://doi.org/10.1142/S0219498819500579
Publication status	Published - 1 Mar 2019

Keywords

artinian rings
Generic matrices
noetherian rings
PI algebras

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10.1142/S0219498819500579

Jøndrup2019

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KW - noetherian rings

KW - PI algebras

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Dimension of noncommutative plane curves

Abstract

Keywords

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