Syzygies on Path Algebras

AuteurATTAN, SYLVAIN
AuteurBOUESSO MIALEBAMA, ANDRE S E
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2017
ResumeLet K be a field and KQ be a noetherian path algebra for the quiver Q. Given a left (resp. right) finitely generated ideal I of KQ, we propose a new idea for computing left (resp. right) Groebner bases on KQ. As application, we propose a method for computing the so called left (resp. right) syzygies, that is, given polynomials f 1 ,...,f s ∈KQ \{0} we propose a method for computing the set of all elements (h 1 ,...,h s )∈(KQ) s such that h 1 f 1 + ... + h s f s = 0 (resp. f 1 h 1 + ... + f s h s = 0).
DOI10.17706/ijapm.2017.7.4.224-240]
Autre identifiantBECDB-4325
URIhttps://dspace.uac.bj/handle/123456789/4114
Languefr
Fait partie deInternational Journal of Applied Physics and Mathematics
SujetGroebner bases
Sujetpath algebra
Sujetsyzygies
TitreSyzygies on Path Algebras
TypeArticle

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