The construction of semigroups from groups and semilattices
Gordon B. Preston (1975-1976)
Groupe d'étude d'algèbre Groupe d'étude d'algèbre
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Displaying similar documents to “Inverse and partially ordered semigroups”
The construction of semigroups from groups and semilattices
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A semigroup is called a generalized -semigroup if there exists a group congruence on such that the identity class contains a greatest element with respect to the natural partial order of . Using the concept of an anticone, all partially ordered groups which are epimorphic images of a semigroup are determined. It is shown that a semigroup is a generalized -semigroup if and only if contains an anticone, which is a principal order ideal of . Also a characterization by means...