Semiprime ideals and separation theorems for posets

DOI10.1007/s11083-008-9087-3zbMath1155.06003OpenAlexW2008281728WikidataQ37060168 ScholiaQ37060168MaRDI QIDQ953267

Vilas S. Kharat, Khalid A. Mokbel

Publication date: 17 November 2008

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-008-9087-3

zbMATH Keywords

prime idealssemiprime idealsdistributive posets

Mathematics Subject Classification ID

Partial orders, general (06A06)

Related Items

Prime ideals in 0-distributive posets ⋮ On $L$-fuzzy semi-prime ideals of a poset and separation theorems ⋮ Ideals in atomic posets ⋮ On generalized zero divisor graph of a poset ⋮ Ideals in distributive posets ⋮ A new view of relationship between atomic posets and complete (algebraic) lattices ⋮ Zero divisor graph of a poset with respect to an ideal ⋮ On \(n\)-normal posets ⋮ On Primary Ideals in Posets ⋮ Baer ideals in 0-distributive posets ⋮ Quasi-complemented posets

Cites Work

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• Semiprime ideals in general lattices
• Primeness and semiprimeness in posets
• The Theory of Representation for Boolean Algebras
• Partially Ordered Sets
• Ideals in Partially Ordered Sets