Treating the exceptional cases of the meatAxe

Gabor Ivanyos; Klaus Lux

doi:10.1080/10586458.2000.10504414

Treating the exceptional cases of the meatAxe

Gabor Ivanyos
, Klaus Lux

Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

We show that the Holt-Rees extension of the standard MeatAxe procedure finds submodules of modules over finite algebras with positive probability in more cases than originally claimed. For the case when the Holt-Rees method fails we propose a further, but still simple and efficient extension.

Original language	English (US)
Pages (from-to)	373-381
Number of pages	9
Journal	Experimental Mathematics
Volume	9
Issue number	3
DOIs	https://doi.org/10.1080/10586458.2000.10504414
State	Published - 2000

ASJC Scopus subject areas

General Mathematics

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10.1080/10586458.2000.10504414

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title = "Treating the exceptional cases of the meatAxe",

abstract = "We show that the Holt-Rees extension of the standard MeatAxe procedure finds submodules of modules over finite algebras with positive probability in more cases than originally claimed. For the case when the Holt-Rees method fails we propose a further, but still simple and efficient extension.",

author = "Gabor Ivanyos and Klaus Lux",

note = "Funding Information: The paper was written while Ivanyos was a visitor at the department of Mathematics and Computing Science, Eindhoven University of Technology, supported by NWO-OTKA ·Grant N26673. The research was also supported by FKFP Grant 0612/1997, OTKA Grants 016503, 022925, and EC Grant ALTEC-KIT.",

year = "2000",

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AU - Ivanyos, Gabor

AU - Lux, Klaus

N1 - Funding Information: The paper was written while Ivanyos was a visitor at the department of Mathematics and Computing Science, Eindhoven University of Technology, supported by NWO-OTKA ·Grant N26673. The research was also supported by FKFP Grant 0612/1997, OTKA Grants 016503, 022925, and EC Grant ALTEC-KIT.

PY - 2000

Y1 - 2000

N2 - We show that the Holt-Rees extension of the standard MeatAxe procedure finds submodules of modules over finite algebras with positive probability in more cases than originally claimed. For the case when the Holt-Rees method fails we propose a further, but still simple and efficient extension.

AB - We show that the Holt-Rees extension of the standard MeatAxe procedure finds submodules of modules over finite algebras with positive probability in more cases than originally claimed. For the case when the Holt-Rees method fails we propose a further, but still simple and efficient extension.

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DO - 10.1080/10586458.2000.10504414

M3 - Article

AN - SCOPUS:0034347996

SN - 1058-6458

VL - 9

SP - 373

EP - 381

JO - Experimental Mathematics

JF - Experimental Mathematics

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Treating the exceptional cases of the meatAxe

Abstract

ASJC Scopus subject areas

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