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On presentations of Brauer-type monoids
Authors:Ganna Kudryavtseva  Volodymyr Mazorchuk
Institution:(1) Department of Mathematics and Mechanics, Kyiv Taras Shevchenko University, 01033 Kyiv, Ukraine;(2) Department of Mathematics, Uppsala University, SE-75106 Uppsala, Sweden
Abstract:We obtain presentations for the Brauer monoid, the partial analogue of the Brauer monoid, and for the greatest factorizable inverse submonoid of the dual symmetric inverse monoid. In all three cases we apply the same approach, based on the realization of all these monoids as Brauer-type monoids.
Keywords:Brauer semigroup  monoid presentation  braid relations
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