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Pour le monoïde plaxique

Marcel-Paul Schützenberger (1997)

Mathématiques et Sciences Humaines

Cet article est probablement le dernier texte de mathématiques écrit en vue de sa publication par M. P. Schützenberger, décédé en juillet 1996. Il était offert par son auteur en hommage à André Lentin, à l'occasion d'un colloque tenu en l'honneur de celui-ci le 23 février 1996 ; M. P. Schützenberger, déjà très malade, n'avait pu participer à cette rencontre, mais avait tenu à rédiger, non sans souffrances, une contribution scientifique qui témoignât de son amitié pour A. Lentin. Lorsque je lui dis...

Presentation of the singular part of the Brauer monoid

Victor Maltcev, Volodymyr Mazorchuk (2007)

Mathematica Bohemica

We obtain a presentation for the singular part of the Brauer monoid with respect to an irreducible system of generators consisting of idempotents. As an application of this result we get a new construction of the symmetric group via connected sequences of subsets. Another application describes the lengths of elements in the singular part of the Brauer monoid with respect to the system of generators mentioned above.

Presentations for subsemigroups of P D n

Abdullahi Umar (2019)

Czechoslovak Mathematical Journal

Let [ n ] = { 1 , ... , n } be an n -chain. We give presentations for the following transformation semigroups: the semigroup of full order-decreasing mappings of [ n ] , the semigroup of partial one-to-one order-decreasing mappings of [ n ] , the semigroup of full order-preserving and order-decreasing mappings of [ n ] , the semigroup of partial one-to-one order-preserving and order-decreasing mappings of [ n ] , and the semigroup of partial order-preserving and order-decreasing mappings of [ n ] .

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