Chuang, J. & King, A. Free resolutions of algebras. City, University of London.
Abstract
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: | Monograph (Working Paper) |
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Subjects: | Q Science > QA Mathematics |
Departments: | School of Mathematics, Computer Science & Engineering > Mathematics |
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