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arXiv · 0804.0959

Groebner-Shirshov bases for free inverse semigroups

L. A. Bokut·Yuqun Chen·Xiangui Zhao
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Abstract

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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L. A. Bokut, Yuqun Chen, Xiangui Zhao. 2013-10-15. Groebner-Shirshov bases for free inverse semigroups. https://arxiv.org/abs/0804.0959

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