Algebraic monoid structures on the affine 3-space
Ivan Arzhantsev, Roman Avdeev, Yulia Zaitseva
TL;DR
This paper completes the classification of algebraic monoid structures on the affine 3-space, focusing on the reduction to commutative monoids and analyzing their algebraic properties.
Contribution
It provides a complete classification of algebraic monoids on affine 3-space, emphasizing the reduction to commutative cases and exploring their properties.
Findings
Classification of all algebraic monoids on affine 3-space
Reduction of the general case to commutative monoids
Analysis of algebraic properties of classified monoids
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.
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