The Geometric Structure of Skew Lattices

DOI10.2307/2154407zbMath0792.06008OpenAlexW4231951858MaRDI QIDQ4038500

Jonathan Leech

Publication date: 16 May 1993

Full work available at URL: https://doi.org/10.2307/2154407

zbMATH Keywords

bandprimitive skew latticescongruence partitionrectangular subalgebrasClifford-McLean Theoremmaximal rectangular imagenatural graphpartial skew latticeskew lattice geometry

Mathematics Subject Classification ID

Lattice ideals, congruence relations (06B10) Lattices (06B99)

Related Items

Flat coset decompositions of skew lattices, Skew Boolean algebras and discriminator varieties, Distributivity in skew lattices, Recent developments in the theory of skew lattices, Skew lattices in rings, Categorical skew lattices, On the coset laws for skew lattices, Cancellation in skew lattices, On strongly symmetric skew lattices, Normal skew lattices, Coset laws for categorical skew lattices, My journey into noncommutative lattices and their theory, On the structure of semigroups of idempotent matrices., On the coset structure of distributive skew lattices, On the coset category of a skew lattice., On the coset structure of a skew lattice, Skew lattices and set-theoretic solutions of the Yang-Baxter equation, Internal Decompositions of Skew Lattices, Erratum to: On the coset structure of a skew lattice

Cites Work

• Skew lattices in rings
• Normal skew lattices
• Schrägverbände und Quasiordnungen
• The lattice of equational classes of idempotent semigroups
• Skew Boolean algebras
• On the Structure of Idempotent Semigroups
• Note on idempotent semigroups, II
• Structure of regular semigroups. I
• Pseudosemilattices and pseudolattices
• A Construction and a Classification of Bands
• All Varieties of Bands I
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