Invariant semigroups of orthodox semigroups

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We consider, in a right inverse semigroup S with a multiplicative inverse transversal So, the notion of an So-invariant subsemigroup and use this to describe all the left amenable orders definable on S. The results obtained, together with their duals, are used to prove that if S is an orthodox semigroup with a multiplicative inverse transversal So, then every amenable order on So can be extended to a unique amenable order on S.

Original languageEnglish
Pages (from-to)163-180
Number of pages18
JournalSemigroup Forum
Issue number1
Publication statusPublished - 1 Dec 1996


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