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Journal of Siberian Federal University. Mathematics & Physics, 2013, Volume 6, Issue 4, Pages 417–427 (Mi jsfu327)  
This article is cited in 6 scientific papers (total in 6 papers)

Gröbner–Shirshov bases and PBW theorems

Leonid A. Bokutab, Yuqun Chenb

a Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
b School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P. R. China
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Abstract: We review some applications of Gröbner–Shirshov bases, including PBW theorems, linear bases of free universal algebras, normal forms for groups and semigroups, extensions of groups and algebras, embedding of algebras.
Keywords: Gröbner–Shirshov basis, Composition-Diamond lemma, PBW theorem, normal form, group, semigroup, extension.
Received: 18.09.2013
Received in revised form: 02.10.2013
Accepted: 04.11.2013
Document Type: Article
UDC: 512.5
Language: English
Citation: Leonid A. Bokut, Yuqun Chen, “Gröbner–Shirshov bases and PBW theorems”, J. Sib. Fed. Univ. Math. Phys., 6:4 (2013), 417–427
Citation in format AMSBIB
\Bibitem{BokChe13}
\by Leonid~A.~Bokut, Yuqun~Chen
\paper Gr\"obner--Shirshov bases and PBW theorems
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2013
\vol 6
\issue 4
\pages 417--427
\mathnet{http://mi.mathnet.ru/jsfu327}
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    • This publication is cited in the following 6 articles:
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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