Gröbner-Shirshov basis for the singular part of the Brauer semigroup

Authors: FIRAT ATEŞ, AHMET SİNAN ÇEVİK, EYLEM GÜZEL KARPUZ

Abstract: In this paper, we obtain a Gröbner-Shirshov (noncommutative Gröbner) basis for the singular part of the Brauer semigroup. It gives an algorithm for getting normal forms and hence an algorithm for solving the word problem in these semigroups.

Keywords: Gröbner-Shirshov bases, Brauer semigroup, normal form

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