Spaces of ideals of distributive lattices II. Minimal prime ideals

DOI10.1017/S144678870001911XzbMath0294.06009OpenAlexW2115737676MaRDI QIDQ4046086

Terence P. Speed

Publication date: 1974

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s144678870001911x

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Structure theory of Boolean algebras (06E05)

Related Items (18)

On $n$-Absorbing Ideals in a Lattice ⋮ Quasicomplemented residuated lattices ⋮ Rings and sheaves ⋮ On the hull-kernel and inverse topologies as frames ⋮ Unnamed Item ⋮ Reticulation of a quantale, pure elements and new transfer properties ⋮ The hull-kernel topology on prime ideals in posets ⋮ Unnamed Item ⋮ TWO SPACES OF MINIMAL PRIMES ⋮ Flat topology on the spectra of quantales ⋮ On the sobriety of the inverse topology ⋮ Complemented lattice-ordered groups ⋮ δ-Ideals in pseudo-complemented distributive join-semilattices ⋮ Minimal prime ideals in 0-distributive semilattices ⋮ The space of minimal prime ideals in a 0-distributive semilattice ⋮ Space of minimal prime ideals of a ring without nilpotent elements ⋮ When ${\rm Min}(G)^{-1}$ has a clopen $øldpi$-base ⋮ The hull-kernel topology on prime filters in residuated lattices

Cites Work

• Unnamed Item
• Minimal Prime Ideals in Commutative Semigroups
• The Space of Minimal Prime Ideals of a Commutative Ring
• Prime Ideal Structure in Commutative Rings
• A Note on Commutative Semigroups II

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