2001•arXiv (Cornell University)Open access

Computing Small 1-Homological Models for Commutative Differential Graded Algebras

Victor E. Alvarez, José Ándrés Armario, M. D. Frau, Rocı́o González-Dı́az, María-José Jiménez, Pedro Real, Beatriz Silva

Open full text 0 citations

Abstract

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.

Open-access reader

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Homological algebra, Commutative property, Mathematics, Associative property, Differential algebra, Differential graded algebra, Homotopy, Homology (biology)