From factorizations of noncommutative polynomials to combinatorial topology

2009/11/23 by Vladimir Retakh, Retakh, Vladimir
Mathematics · #16S37 #57N99 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Rings and Algebras (math.RA) #math.GT #math.RA #msc:16S37 #msc:57N99

paper · pdf · doi:10.48550/arxiv.0911.4454

11 pages, 1 figure

openalex publication_date 2009/11/23 · arxiv created 2009/11/30 · arxiv updated 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is an extended version of a talk given at the conference "Algebra and Topology in Interaction" on the occasion of the 70th Anniversary of D.B. Fuchs at UC Davis in September 2009. It is a brief survey of an area originated around 1995 by I. Gelfand and the author.

Citations

• Koszulity of splitting algebras associated with cell complexes

Related

• Noncommutative algebras associated to complexes and graphs
• Factorization of Non-Commutative Polynomials
• Combinatorial methods: from groups to polynomial algebras
• Towards non commutative algebraic topology
• Construction of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials