Algebraic Monoid Structures on the Affine 3-Space

International Mathematics Research Notices 2026 Open access

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Authors: Ivan Arzhantsev, Roman Sergeevich Avdeev, Yulia Ivanovna Zaitseva
DOI: 10.1093/imrn/rnag007
Cited by: 0
References: 25

Abstract

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.

Fields of Study & Subjects

Rings Modules and Algebras Polynomial and algebraic computation Homotopy and Cohomology in Algebraic Topology

Publication details

Journal / source
International Mathematics Research Notices
Volume
2026
Issue
4
Publication date
1 February 2026
Language
EN