2012/10/19 by Joe Chuang, Alastair King, Chuang, Joe +1
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.KT #math.RA #math.RT
paper · pdf · doi:10.48550/arxiv.1210.5438
16 pages
arxiv created 2012/10/19 · openalex publication_date 2012/10/19 · arxiv updated 2012/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given an algebra A, presented by generators and relations, i.e. as a quotient of a tensor algebra by an ideal, we construct a free algebra resolution of A, i.e. a differential graded algebra which is quasi-isomorphic to A and which is itself a tensor algebra. The construction rests combinatorially on the set of bracketings that arise naturally in the description of a free contractible differential graded algebra with given generators.