A remarkable subclass of linearly ordered semigroups, called interval semigroups, defined on connected and compact sets is studied. Particularly, a generalized notion of o-isomorphism, called weak o-embedding, of such semigroups into the real numbers with standard operations is given. A representation theorem for the weak o-embedding of topological Archimedean interval semigroups with no zero divisors is provided. Such characterization is shown to be the best one possible.
Characterization of non-nilpotent topological interval semigroups
GHISELLI RICCI, Roberto
2009
Abstract
A remarkable subclass of linearly ordered semigroups, called interval semigroups, defined on connected and compact sets is studied. Particularly, a generalized notion of o-isomorphism, called weak o-embedding, of such semigroups into the real numbers with standard operations is given. A representation theorem for the weak o-embedding of topological Archimedean interval semigroups with no zero divisors is provided. Such characterization is shown to be the best one possible.File in questo prodotto:
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