On the existence of prime ideals in semidistributive lattices

DOI10.1007/BF01191774zbMath0516.06006OpenAlexW1996561008MaRDI QIDQ1052353

V. I. Tumanov, V. A. Gorbunov

Publication date: 1983

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191774

zbMATH Keywords

semidistributive latticeprime ideals in lattices

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Lattice ideals, congruence relations (06B10)

Related Items (8)

A note on prime ideal principle in lattices ⋮ Notes on join semidistributive lattices ⋮ Unnamed Item ⋮ Prime ideals in 0-distributive posets ⋮ Semiprime ideals in general lattices ⋮ Ideals in atomic posets ⋮ The Jónsson-Kiefer property ⋮ Semidistributivity, prime ideals and the subbase lemma

Cites Work

• A note on semi-distributive lattices
• Free lattices
• Sublattices of a Free Lattice
• Equational Bases and Nonmodular Lattice Varieties

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