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
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.
Gröbner–Shirshov basis, Composition-Diamond lemma, PBW theorem, normal form, group, semigroup, extension.
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Received in revised form: 02.10.2013
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
\by Leonid~A.~Bokut, Yuqun~Chen
\paper Gr\"obner--Shirshov bases and PBW theorems
\jour J. Sib. Fed. Univ. Math. Phys.
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