Homology, Homotopy and Applications
Volume 4 (2002)
The Roos Festschrift volume
On constructing resolutions over the polynomial
Pages: 315 – 336
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.
homology, homotopy, homological perturbation, resolution, polynomial ring, Gröbner basis, normal form
2010 Mathematics Subject Classification