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

Firat Ateş,Ahmet Sinan Çevik,Eylem Güzel Karpuz

TURKISH JOURNAL OF MATHEMATICS（2018）

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摘要

In this paper, we obtain a Grobner-Shirshov (noncommutative Grobner) 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.

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关键词

Grobner-Shirshov bases,Brauer semigroup,normal form

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