Geodesic
Gr\"obner--Shirshov bases and PBW theorems
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 4, pp. 417-427

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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, PBW theorem, normal form, semigroup, extension.
Mots-clés : Composition-Diamond lemma, group 
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     author = {Leonid A. Bokut and Yuqun Chen},
     title = {Gr\"obner--Shirshov bases and {PBW} theorems},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2013},
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     url = {http://geodesic.mathdoc.fr/item/JSFU_2013_6_4_a1/}
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Leonid A. Bokut; Yuqun Chen. Gr\"obner--Shirshov bases and PBW theorems. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 4, pp. 417-427. http://geodesic.mathdoc.fr/item/JSFU_2013_6_4_a1/