A normal form for a class of monoids including the singular braid monoids
Research Report 99-3
Date: January 1999
The first part of this paper investigates a class of homogeneously presented
monoids. Constructions which enable division and multiplication to be computed
are described. The word problem and the division problem are solved, and a
unique normal form is given for monoids in this class.
The second part deals with the motivating examples of this class - the
positive singular Artin monoids. Finally, the singular Artin monoids are
introduced. The word and division problems are solved for all singular Artin
monoids of finite type, including, for example, the singular braid monoids
introduced by Baez and Birman.
singular braid monoids. word problem.
AMS Subject Classification (1991)
Primary: 20M05, 20F36
Secondary: 57M25, 20F10
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Sydney Mathematics and Statistics