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On adjoining greatest element to ordered semigroups. (English) Zbl 0778.06013

Summary: As a continuation of our earlier paper [ibid. 36, 695-702 (1991; Zbl 0759.20018)], the adjunction of a greatest element to an ordered semigroup is actually an embedding problem. An adjunction is given by the second proof of the paper’s proposition. As a consequence, each ordered semigroup is embeddable in a regular (resp. intra-regular) poe-semigroup.

MSC:

06F05 Ordered semigroups and monoids

Citations:

Zbl 0759.20018
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