Topological linearly ordered semigroups defined on connected and compact sets are studied. Particularly, two representation theorems for the o-embedding of such semigroups into the real numbers with standard operations are provided, weakening the crucial assumption of cancellativity. A generalized notion of o-isomorphism, which includes the classical case even if cancellativity falls, is given.
On the characterization of topological semigroups on closed intervals
GHISELLI RICCI, Roberto
2006
Abstract
Topological linearly ordered semigroups defined on connected and compact sets are studied. Particularly, two representation theorems for the o-embedding of such semigroups into the real numbers with standard operations are provided, weakening the crucial assumption of cancellativity. A generalized notion of o-isomorphism, which includes the classical case even if cancellativity falls, is given.File in questo prodotto:
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