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Free resolutions of algebras


Reference:

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

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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.

Details

Item Type Reports/Papers (Working Paper)
CreatorsChuang, J.and King, A.
Related URLs
URLURL Type
http://uk.arxiv.org/abs/1210.5438Free Full-text
DepartmentsFaculty of Science > Mathematical Sciences
StatusPublished
ID Code32420

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