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2000 Mathematics Subject Classification: 20M20, 20M10.We describe maximal nilpotent subsemigroups of a given nilpotency class in the semigroup Ωn of all n × n real matrices with non-negative
coefficients and the semigroup Dn of all doubly stochastic real matrices.
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.
This paper deals with the decidability of semigroup freeness. More precisely, the
freeness problem over a semigroup S is defined as: given a finite subset
X ⊆ S, decide whether each element of
S has at most one factorization over X. To date, the
decidabilities of the following two freeness problems have been closely examined. In 1953,
Sardinas and Patterson proposed a now famous algorithm for the freeness problem over the
free monoids....
This paper deals with the decidability of semigroup freeness. More precisely, the freeness problem over a semigroup S is defined as: given a finite subset X ⊆ S, decide whether each element of S has at most one factorization over X. To date, the decidabilities of the following two freeness problems have been closely examined. In 1953, Sardinas and Patterson proposed a now famous algorithm for the freeness problem over the free monoids. In 1991, Klarner, Birget and Satterfield proved the undecidability...
This paper deals with the decidability of semigroup freeness. More precisely, the
freeness problem over a semigroup S is defined as: given a finite subset
X ⊆ S, decide whether each element of
S has at most one factorization over X. To date, the
decidabilities of the following two freeness problems have been closely examined. In 1953,
Sardinas and Patterson proposed a now famous algorithm for the freeness problem over the
free monoids....
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