Peakword condensation and submodule lattices: An application of the Meat-Axe

Klaus Lux; Jürgen Müller; Michael Ringe

doi:10.1006/jsco.1994.1033

Peakword condensation and submodule lattices: An application of the Meat-Axe

Klaus Lux, Jürgen Müller, Michael Ringe

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39 Scopus citations

Abstract

We describe a new condensation method for computing the submodule lattice of a module for a finite dimensional algebra over a finite field, which exploits the idea of condensation and extends it to the case of primitive idempotents. The method has been implemented in the new C version of the MEAT-AXE developed at Aachen, and we give several examples which have been analysed with our method.

Original language	English (US)
Pages (from-to)	529-544
Number of pages	16
Journal	Journal of Symbolic Computation
Volume	17
Issue number	6
DOIs	https://doi.org/10.1006/jsco.1994.1033
State	Published - Jun 1994
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics

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10.1006/jsco.1994.1033

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abstract = "We describe a new condensation method for computing the submodule lattice of a module for a finite dimensional algebra over a finite field, which exploits the idea of condensation and extends it to the case of primitive idempotents. The method has been implemented in the new C version of the MEAT-AXE developed at Aachen, and we give several examples which have been analysed with our method.",

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Peakword condensation and submodule lattices: An application of the Meat-Axe

Abstract

ASJC Scopus subject areas

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