The class of prime semilattices is not finitely axiomatizable

DOI10.1007/PL00005908zbMath0905.06004OpenAlexW1991614578MaRDI QIDQ1362896

Keith A. Kearnes

Publication date: 7 August 1997

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00005908

zbMATH Keywords

meet-semilatticefinite axiomatizabilityprime filterprime semilattices

Mathematics Subject Classification ID

Semilattices (06A12) Basic properties of first-order languages and structures (03C07)

Related Items (5)

CLOSURE OPERATORS, FRAMES AND NEATEST REPRESENTATIONS ⋮ Non-elementary classes of representable posets ⋮ No finite axiomatizations for posets embeddable into distributive lattices ⋮ Recursive axiomatizations for representable posets ⋮ RECURSIVE AXIOMATISATIONS FROM SEPARATION PROPERTIES

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