Abstract
In this paper we consider complete d-semigroups, i. e. d-semigroups with a conditionally complete lattice satisfying the implication: ⋂ai ⇒ xsy = ⋂xa.y. As main results we present: 1. Every complete d-semigroup is archimedean. 2. A d-semigroup is complete iff its cone is complete. 3. Every archimedean d-semigroup can be embedded into an archimedean d-semigroup with identity 1. 4. Every complete d-semigroup can be embedded into a complete d-semigroup with identity.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
