Pointed principally ordered regular semigroups

T.S. Blyth; G.A. Pinto

Displaying similar documents to “Pointed principally ordered regular semigroups”

On the subsemigroup generated by ordered idempotents of a regular semigroup

Anjan Kumar Bhuniya, Kalyan Hansda (2015)

Discussiones Mathematicae - General Algebra and Applications

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An element $e$ of an ordered semigroup S is called an ordered idempotent if e ≤ e². Here we characterize the subsemigroup $g e n e r a t e d b y t h e s e t o f a l l o r d e r e d i d e m p o t e n t s o f a r e g u l a r o r d e r e d s e m i g r o u p S . I f S i s a r e g u l a r o r d e r e d s e m i g r o u p t h e n$ is also regular. If S is a regular ordered semigroup generated by its ordered idempotents then every ideal of S is generated as a subsemigroup by ordered idempotents.

On the embedding of ordered semigroups into ordered group

Mohammed Ali Faya Ibrahim (2004)

Czechoslovak Mathematical Journal

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It was shown in [7] that any right reversible, cancellative ordered semigroup can be embedded into an ordered group and as a consequence, it was shown that a commutative ordered semigroup can be embedded into an ordered group if and only if it is cancellative. In this paper we introduce the concept of $L$ -maher and $R$ -maher semigroups and use a technique similar to that used in [7] to show that any left reversible cancellative ordered $L$ or $R$ -maher semigroup can be embedded into an ordered...