Computing Small 1-Homological Models for Commutative Differential Graded Algebras

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

arxiv: math/0110331 · v1 · pith:WRLWPMWTnew · submitted 2001-10-31 · 🧮 math.AT · math.AC· math.RA

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 This is my paper

classification 🧮 math.AT math.ACmath.RA

keywords homologicaldifferentialalgebrascommutativecomputinggradedmodelsperturbation

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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.

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Computing Small 1-Homological Models for Commutative Differential Graded Algebras

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