Compatible function semigroups

Function spaces of Rees matrix semigroups

We characterize function spaces of Rees matrixsemigroups. Then we study these spaces by using the topologicaltensor product technique.

function spaces of rees matrix semigroups

we characterize function spaces of rees matrixsemigroups. then we study these spaces by using the topologicaltensor product technique.

Analysis on Semigroups: Function Spaces, Compactifications, Representations

Automatic semigroups vs automaton semigroups

We develop an effective and natural approach to interpret any semigroup admitting a special language of greedy normal forms as an automaton semigroup, namely the semigroup generated by a Mealy automaton encoding the behaviour of such a language of greedy normal forms under one-sided multiplication. The framework embraces many of the well-known classes of (automatic) semigroups: free semigroups,...

Fq-rational places in algebraic function fields using Weierstrass semigroups

We present a new bound on the number of Fq-rational places in an algebraic function field. It uses information about the generators of theWeierstrass semigroup related to a rational place. As we demonstrate, the bound has implications to the theory of towers of function fields. © 2008 Elsevier B.V. All rights reserved.