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Öğe Grobner-shirshov basis for the singular part of the brauer semigroup(SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2018) Ates, Firat; Cevik, Ahmet Sinan; Guzel Karpuz, EylemIn 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.