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arxiv: 1502.06472 · v1 · pith:B6DYK4RFnew · submitted 2014-11-08 · 🧮 math.RA

Gr\"obner-Shirshov bases and PBW theorems

classification 🧮 math.RA
keywords algebrasbasesgroupsobner-shirshovtheoremsapplicationsembeddingextensions
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We review some applications of Gr\"obner-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.

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