Free resolutions of algebras


Chuang, J. and King, A., 2012. Free resolutions of algebras. Working Paper.

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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.


Item Type Reports/Papers (Working Paper)
CreatorsChuang, J.and King, A.
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URLURL Type Full-text
DepartmentsFaculty of Science > Mathematical Sciences
ID Code32420


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