Article ID Journal Published Year Pages File Type
5771745 Journal of Algebra 2017 36 Pages PDF
Abstract
Let k be an algebraically closed field. We classify all maximal k-subalgebras of k[t,t−1,y]. To the authors' knowledge, this is the first such classification result for a commutative algebra of dimension >1. Moreover, we classify all maximal k-subalgebras of k[t,y] that contain a coordinate of k[t,y]. Furthermore, we give plenty examples of maximal k-subalgebras of k[t,y] that do not contain a coordinate.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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