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Computing Small 1-Homological Models for Commutative Differential Graded Algebras

Victor Alvarez, Jose Andres Armario, Maria Dolores Frau, Rocio Gonzalez-Diaz, Maria Jose Jimenez, Pedro Real, Beatriz Silva

Published 2001-10-31Version 1

We use homological perturbation machinery specific for the algebra category [P. Real. Homological Perturbation Theory and Associativity. Homology, Homotopy and Applications vol. 2, n. 5 (2000) 51-88] to give an algorithm for computing the differential structure of a small 1--homological model for commutative differential graded algebras (briefly, CDGAs). The complexity of the procedure is studied and a computer package in Mathematica is described for determining such models.

Comments: 17 pages
Journal: Proceedings of the 3rd Workshop on Computer Algebra in Scientific Computing CASC'00 (2000) 87-100
Categories: math.AT, math.AC, math.RA
Subjects: 13D03, 16E40
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