Abstract
Let $k$ be a field, and $A$ be a polynomial algebra over $k$. Let $I\subseteq A$ be an ideal. We present a novel method for computing resolutions of $A/I$ over $A$. The method is a synthesis of Gröbner basis techniques and homological perturbation theory. The examples in this paper were computed using computer algebra.
Citation
Leif Johansson. Larry Lambe. Emil Sköldberg. "On constructing resolutions over the polynomial." Homology Homotopy Appl. 4 (2) 315 - 336, 2002.
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