Groebner-Shirshov besis for a free inverse semigroup

Details Groebner-Shirshov besis for a free inverse semigroup Groebner-Shirshov besis for a free inverse semigroup

2008-04-07

arxiv.org/abs/0804.0959v3

International Journal of Algebra and Computation, 19(2)(2009), 129-143

Mathematics

Group Theory

Scientific paper

A new construction of a free inverse semigroup was obtained by Poliakova and Schein in 2005. Based on their result, we find a Groebner-Shirshov basis of a free inverse semigroup relative to the deg-lex order of words. In particular, we give the (unique and shortest) Groebner-Shirshov normal forms in the classes of equivalent words of a free inverse semigroup together with the Groebner-Shirshov algorithm to transform any word to its normal form.

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