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Fundamentalnaya i Prikladnaya Matematika, 2000, Volume 6, Issue 3, Pages 669–706
(Mi fpm497)
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This article is cited in 32 scientific papers (total in 32 papers)
Gröbner and Gröbner–Shirshov bases in algebra and conformal algebras
L. A. Bokut'a, Yu. Fongb, W.-F. Keb, P. S. Kolesnikova a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b National Cheng Kung University
Abstract:
In this paper the Gröbner–Shirshov bases theory is regularly presented for commutative, non-commutative, Lie and conformal algebras. The general form of Composition-Diamond lemma for conformal relations is stated. We have made a review of some results obtained with Gröbner–Shirshov bases of usual and conformal algebras. It is proved that every finitely generated commutative conformal algebra is Noetherian, an analogue of Specht problem is considered for commutative conformal algebras.
Received: 01.09.2000
Citation:
L. A. Bokut', Yu. Fong, W. Ke, P. S. Kolesnikov, “Gröbner and Gröbner–Shirshov bases in algebra and conformal algebras”, Fundam. Prikl. Mat., 6:3 (2000), 669–706
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https://www.mathnet.ru/eng/fpm497 https://www.mathnet.ru/eng/fpm/v6/i3/p669
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