Commutative algebras and representations of the category of finite sets

2010/11/29 by S. S. Podkorytov, Podkorytov, S. S. · 2 citations
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.AC #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.1011.6192

Simplified and adapted for arbitrary characteristic

openalex publication_date 2010/11/29 · arxiv created 2011/04/03 · arxiv updated 2011/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that two finite-dimensional commutative algebras over an algebraically closed field are isomorphic if and only if they give rise to isomorphic representations of the category of finite sets and surjective maps.

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