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Abstract: Let k be a eld, and A be a polynomial algebra over k. Let I A be an ideal. We present a novel method for computing resolutions of A=I over A. The method is a synthesis of Grobner basis techniques and homological perturbation theory. The examples in this paper were computed using computer algebra. To Jan{Erik Roos on his sixty{ fth birthday 1. (Update)
Context of citations to this paper: More
.... 2 We note that, in general, in order to increase practicality further, one needs to devise reduction strategies along the lines of [24] to reduce the size of the resolution for a general group. Our moderate sized resolutions are a good starting point for these methods, but...
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Computing Resolutions over Finite p-Groups - Grabmeier, Lambe (2000) (Correct)
Homological Computations for p-Groups - Grabmeier, Lambe (Correct)
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BibTeX entry: (Update)
Leif Johansson, Larry Lambe, and Emil Skoldberg. On constructing resolutions over the polynomial algebra, 2000. Preprint. http://citeseer.ist.psu.edu/johansson00constructing.html More
@misc{ johansson00constructing,
author = "L. Johansson and L. Lambe and E. Sk",
title = "On constructing resolutions over the polynomial algebra",
text = "Leif Johansson, Larry Lambe, and Emil Skoldberg. On constructing resolutions
over the polynomial algebra, 2000. Preprint.",
year = "2000",
url = "citeseer.ist.psu.edu/johansson00constructing.html" }
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5 Some complex constructions with applications to Poincare se.. (context) - Fr - 1979
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4 Entry on Homological Perturbation Theory in the Encyclopaedi.. (context) - Lambe - 2000
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2 Gwynedd LL57 1UT (context) - Taylor, Univ et al. - 1960
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