Gröbner–Shirshov bases and their calculation

By Leonid A. Bokut, Yuqun Chen. 2013

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In this survey we give an exposition of the theory of Gröbner–Shirshov bases for associative algebras, Lie algebras, groups, semigroups, Ω-algebras, operads, etc. We mention some new Composition-Diamond lemmas and applications.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/35cdd6b99ac28d69fdf1fbbbd611d8338f9af5d3