Weakly self-injective semilattices

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1973 Germany English Publisher:Springer Science and Business Media LLCJournal:Semigroup Forum, volume 6, pages 3-11 (issn: 0037-1912, eissn: 1432-2137,

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Authors: McMorris, F.R.; Johnson, C.S. jr.;

doi: 10.1007/bf02389103

Weakly self-injective semilattices

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Abstract

In this note we characterize weakly self-injective semilattices as Brouwerian semilattices which are compact in the residuated interval topology. We also characterize weakly self-injective semigroups which are semilattices of groups with trivial multiplication.

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Germany

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North Carolina State University
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Bowling Green State University
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North Carolina Agricultural and Technical State University
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DigiZeitschriften
Germany

Keywords

510.mathematics, Structure theory of lattices, Semigroups, Article

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