The fixed set of a derivation in lattices

DOI10.1186/1687-1812-2012-218zbMath1277.06002OpenAlexW2065004139WikidataQ59289803 ScholiaQ59289803MaRDI QIDQ383895

Xiao Xin

Publication date: 6 December 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-218

zbMATH Keywords

distributive latticemodular latticederivations in latticesfixed set of derivationsisotone derivationsrelatively pseudo-complemented latticestandard ideal

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Lattice ideals, congruence relations (06B10)

Related Items (9)

(F,G)-Derivations on a Lattice ⋮ Unnamed Item ⋮ Integral operators on lattices ⋮ On Boolean elements and derivations in 2-dimension linguistic lattice implication algebras ⋮ Some results on derivations of MV-algebras ⋮ On derivations of partially ordered sets ⋮ On derivations and their fixed point sets in residuated lattices ⋮ Derivation operators on generalized algebras of BCK logic ⋮ Boolean algebras derived from a quotient of a distributive lattice

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.
• On derivations of lattices
• 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
• Generalized derivations in rings^*
• Role hierarchies and constraints for lattice-based access controls

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