On Algebraic Semigroups and Monoids
Michel Brion

TL;DR
This paper explores fundamental aspects of algebraic semigroups and monoids, including structure theorems and classifications on curves and varieties, advancing understanding of their algebraic properties.
Contribution
It provides a Chevalley-type structure theorem for irreducible algebraic monoids and classifies algebraic semigroup structures on curves and complete varieties.
Findings
Chevalley's structure theorem adapted for algebraic monoids
Complete classification of semigroup structures on curves
Descriptions of algebraic semigroups on complete varieties
Abstract
We present some fundamental results on (possibly nonlinear) algebraic semigroups and monoids. These include a version of Chevalley's structure theorem for irreducible algebraic monoids, and the description of all algebraic semigroup structures on curves and complete varieties.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsPolynomial and algebraic computation · Advanced Numerical Analysis Techniques · Commutative Algebra and Its Applications
