Terms and semiterms
The alternating semigroups: Generators and congruences.
The archimedean graph of a positive function on a semigroup.
The automorphism group of the graph of an R class.
The bicyclic semigroup has F4*.
The bifree regular E-solid semigroups.
The cardinalities of the Green classes of the free objects in varieties of bands.
The characterisation of monoids by properties of their S-systems.
The dual braid monoid
The equivalence of uniquely divisible semigroups and uniquely representable semigroups on the two-cell.
The Fibonacci automorphism of free Burnside groups
We prove that the Fibonacci morphism is an automorphism of infinite order of free Burnside groups for all odd and even .
The Fibonacci automorphism of free Burnside groups
We prove that the Fibonacci morphism is an automorphism of infinite order of free Burnside groups for all odd and even .
The free algebra in the variety generated by quasi-trivial semigroups
The free compact lattice generated by a topological semilattice.
The free completely regular semigroup on a set.
The globals of pseudovarieties of ordered semigroups containing and an application to a problem proposed by Pin
Given a basis of pseudoidentities for a pseudovariety of ordered semigroups containing the 5-element aperiodic Brandt semigroup , under the natural order, it is shown that the same basis, over the most general graph over which it can be read, defines the global. This is used to show that the global of the pseudovariety of level of Straubing-Thérien’s concatenation hierarchy has infinite vertex rank.
The globals of pseudovarieties of ordered semigroups containing B2 and an application to a problem proposed by Pin
Given a basis of pseudoidentities for a pseudovariety of ordered semigroups containing the 5-element aperiodic Brandt semigroup B2, under the natural order, it is shown that the same basis, over the most general graph over which it can be read, defines the global. This is used to show that the global of the pseudovariety of level 3/2 of Straubing-Thérien's concatenation hierarchy has infinite vertex rank.
The groupoid of 0-reduced varieties of Semigroups (n).
The growth functions of finitely generated semigroups.
The Hopf property and K-free products of semigroups.