Free resolutions of algebras

Chuang, J. & King, A. Free resolutions of algebras. Journal of Algebra,

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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.

Publication Type: Article
Additional Information: © 2016 Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Subjects: Q Science > QA Mathematics
Departments: School of Engineering & Mathematical Sciences > Mathematics

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