Groebner-Shirshov Bases: Some New Results

Abstract

In this survey article, we report some new results of Groebner-Shirshov bases, including new Composition-Diamond lemmas, applications of some known Composition-Diamond lemmas and content of some expository papers.

19 pages

Cited by in corpus (11)

• Composition-Diamond Lemma for Tensor Product of Free Algebras
• Gröbner-Shirshov bases for Lie algebras over a commutative algebra
• Gröbner-Shirshov bases for metabelian Lie algebras
• Gröbner-Shirshov bases for semirings
• Composition-Diamond lemma for differential algebras
• Composition-Diamond lemma for associative $n$-conformal algebras
• Groebner-Shirshov bases for free inverse semigroups
• Gröbner-Shirshov bases for some Lie algebras
• Gröbner-Shirshov bases for Rota-Baxter algebras
• Groebner-Shirshov Bases for Associative Algebras with Multiple Operators and Free Rota-Baxter Algebras
• Gröbner--Shirshov bases for Vinberg--Koszul--Gerstenhaber right-symmetric algebras