paper

Algebraic monoid structures on the affine 3-space

arXiv:2412.09559 · doi:10.1093/imrn/rnag007

Abstract

We complete the classification of algebraic monoid structures on the affine 3-space. The result is based on a reduction of the general case to that of commutative monoids. We also study various algebraic properties of all monoids appearing in the classification.

v3: 21 pages, revised according to the referee's suggestions

Algebraic monoid structures on the affine 3-space · wovepaper