On derivations of lattices

DOI10.1016/J.INS.2007.08.018zbMath1130.06002OpenAlexW1975062576MaRDI QIDQ2466093

Jing Hua Lu, Xiao Long Xin, Ti Yao Li

Publication date: 11 January 2008

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2007.08.018

zbMATH Keywords

latticeBoolean algebradistributive latticemodular latticederivation

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Structure theory of lattices (06B05) Modular lattices, Desarguesian lattices (06C05)

Related Items (28)

SOME PROPERTIES ON DERIVATIONS OF LATTICES ⋮ (F,G)-Derivations on a Lattice ⋮ ON MULTIPLIERS OF PARTIALLY ORDERED SETS ⋮ f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS ⋮ On derivations of quantales ⋮ Multiplicative derivations and \(d\)-filters of commutative residuated lattices ⋮ The fixed set of a derivation in lattices ⋮ Unnamed Item ⋮ Integral operators on lattices ⋮ Symmetric bi-derivations on posets ⋮ On Boolean elements and derivations in 2-dimension linguistic lattice implication algebras ⋮ Some results on derivations of MV-algebras ⋮ Unnamed Item ⋮ On derivations of partially ordered sets ⋮ On triple derivations of partially ordered sets ⋮ Derivations of commutative residuated lattices ⋮ On derivations and their fixed point sets in residuated lattices ⋮ Unnamed Item ⋮ Derivation operators on generalized algebras of BCK logic ⋮ On generalized derivations of partially ordered sets ⋮ A binary operation-based representation of a lattice ⋮ Skew derivations on partially ordered sets ⋮ Multiplicative and implicative derivations on residuated multilattices ⋮ Boolean algebras derived from a quotient of a distributive lattice ⋮ \(n\)-derivations and \((n,m)\)-derivations of lattices ⋮ State \(L\)-algebras and derivations of \(L\)-algebras ⋮ A note on multipliers in almost distributive lattices ⋮ New Types of Derivations in BL-Algebras

Cites Work

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• Entropy of capacities on lattices and set systems
• Rings in which derivations satisfy certain algebraic conditions
• On derivations of BCI-algebras.
• Rough approximations on a complete completely distributive lattice with applications to generalized rough sets
• On the direct decomposability of strong negations and \(S\)-implication operators on product lattices
• Derivations in Prime Rings
• Role hierarchies and constraints for lattice-based access controls

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