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.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Numerical Analysis Techniques · Commutative Algebra and Its Applications