FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 3, PAGES 669-706
L. A. Bokut'
Yu. Fong
W.-F. Ke
P. S. Kolesnikov
Abstract
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In this paper the Gr\"obner--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
Gr\"obner--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.
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Last modified: December 8, 2000