FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 3, PAGES 669-706

**Gröbner and Gröbner--Shirshov bases in algebra and conformal
algebras**

L. A. Bokut'

Yu. Fong

W.-F. Ke

P. S. Kolesnikov

Abstract

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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.

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published in Russian.

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Last modified: December 8, 2000