A note on prime ideal principle in lattices

DOI10.1142/S1793557115500242zbMath1351.06003MaRDI QIDQ3449961

Shubhangi Kavishwar, Vinayak Joshi

Publication date: 30 October 2015

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

prime idealdistributive lattice\(0\)-distributive lattice``maximum implies prime principle

Mathematics Subject Classification ID

Lattice ideals, congruence relations (06B10) Other generalizations of distributive lattices (06D75)

Related Items (2)

Baer ideals in 0-distributive posets ⋮ Unnamed Item

Cites Work

• Prime ideals in 0-distributive posets
• A prime ideal principle in commutative algebra
• On the existence of prime ideals in semidistributive lattices
• Semiprime ideals in general lattices
• Prime ideal theory for general algebras
• Commutative rings with restricted minimum condition
• O-Distributive Semilattices
• On relative maximal ideals in lattices
• A note on commutative Baer rings
• Standard ideals in lattices

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