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This article is cited in 4 scientific papers (total in 4 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
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.
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UDC:
512.5 Received: 18.09.2013 Received in revised form: 02.10.2013 Accepted: 04.11.2013
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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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http://mi.mathnet.ru/eng/jsfu327 http://mi.mathnet.ru/eng/jsfu/v6/i4/p417
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Y. Li, Q. H. Mo, “Some new results for Leibniz algebras and non-associative algebras”, Southeast Asian Bull. Math., 41:1 (2017), 45–54
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I. Ivanov-Pogodaev, S. Malev, “Finite Gröbner basis algebras with unsolvable nilpotency problem and zero divisors problem”, J. Algebra, 508 (2018), 575–588
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