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Showing 1-20 of 5,252 results

  2. Distributive and Lower-Modular Elements of the Lattice of Monoid Varieties

    In the lattice of semigroup varieties, the set of all neutral elements is finite, the set of all distributive elements is countably infinite, and the...

    S. V. Gusev in Siberian Mathematical Journal
    Article 01 November 2022

  3. Canonical extensions, free completely distributive lattices, and complete retracts

    We provide a simple proof of a recent result of Morton and van Alten that the canonical extension of a bounded distributive lattice is its free...

    Guram Bezhanishvili, John Harding, Mamuka Jibladze in Algebra universalis
    Article 05 November 2021

  4. Varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive

    We completely classify all varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive.

    Sergey V. Gusev in Monatshefte für Mathematik
    Article 13 May 2022

  5. A Study on Some Classes of Distributive Lattices with a Generalized Implication

    Ismael Calomino, Jorge Castro, ... Luciana Valenzuela in Order
    Article 29 November 2023

  6. Representing Distributive Dually Algebraic Lattices

    We show that every distributive dually algebraic lattice can be represented as Sp(S, H) with S an algebraic lattice and H a monoid of operators. As a...
    Kira Adaricheva, Jennifer Hyndman, ... Joy N. Nishida in A Primer of Subquasivariety Lattices
    Chapter 2022

  8. Subordinations on Bounded Distributive Lattices

    In this paper we shall study some classes of bounded distributive lattices endowed with a subordination relation, called subordination lattices. We...

    Sergio A. Celani in Order
    Article 03 February 2022

  9. Non-distributive Description Logic

    We define LE- \(\mathcal {ALC}\) , a generalization of...
    Ineke van der Berg, Andrea De Domenico, ... Mattia Panettiere in Automated Reasoning with Analytic Tableaux and Related Methods
    Conference paper Open access 2023

  10. Completely Prime Ideals in Multiplicatively Idempotent Semirings

    Abstract

    Structure properties of multiplicatively idempotent semirings are considered. Basic results concerning completely prime ideals in...

    E. M. Vechtomov, A. A. Petrov in Mathematical Notes
    Article 26 April 2022

  11. Sufficient conditions for the finiteness of the 3-generated lattice with modular and distributive type elements among generators

    We investigate the finiteness and the infiniteness of the free 3-generated lattice with modular and distributive type elements among generators. For...

    Alexander G. Gein, Mikhail P. Shushpanov in Algebra universalis
    Article 07 January 2021

  12. Pointed Lattice Subreducts of Varieties of Residuated Lattices

    We study the pointed lattice subreducts of varieties of residuated lattices (RLs) and commutative residuated lattices (CRLs), i.e. lattice subreducts...

    Adam Přenosil in Order
    Article Open access 27 May 2024

  13. Partial Rank Symmetry of Distributive Lattices for Fences

    Sergi Elizalde, Bruce E. Sagan in Annals of Combinatorics
    Article 07 August 2022

  14. The lattice of varieties of monoids

    We survey results devoted to the lattice of varieties of monoids. Along with known results, some unpublished results are given with proofs. A number...

    Sergey V. Gusev, Edmond W. H. Lee, Boris M. Vernikov in Japanese Journal of Mathematics
    Article 21 October 2022

  15. The Involutive Quantaloid of Completely Distributive Lattices

    Let L be a complete lattice and let \({\mathcal {Q}}(L)\) be the...
    Luigi Santocanale in Relational and Algebraic Methods in Computer Science
    Conference paper 2020

  16. Pointless Parts of Completely Regular Frames

    (Completely regular) locales generalize (Tychonoff) spaces; indeed, the passage from a locale to its spatial sublocale is a well understood...

    Richard N. Ball in Applied Categorical Structures
    Article 04 June 2024

  17. Duality for normal lattice expansions and sorted residuated frames with relations

    We revisit the problem of Stone duality for lattices with quasioperators, presenting a fresh duality result. The new result is an improvement over...

    Chrysafis Hartonas in Algebra universalis
    Article Open access 29 January 2023

  18. Cancellable elements of the lattice of monoid varieties

    The set of all cancellable elements of the lattice of semigroup varieties has recently been shown to be countably infinite. But the description of...

    S. V. Gusev, E. W. H. Lee in Acta Mathematica Hungarica
    Article 03 September 2021

  19. Unary-Determined Distributive \(\ell \) -magmas and Bunched Implication Algebras

    A distributive lattice-ordered magma ( \(d\ell \)...
    Natanael Alpay, Peter Jipsen, Melissa Sugimoto in Relational and Algebraic Methods in Computer Science
    Conference paper 2021

  20. The structure of completely meet irreducible congruences in strongly Fregean algebras

    A strongly Fregean algebra is an algebra such that the class of its homomorphic images is Fregean and the variety generated by this algebra is...

    Katarzyna Słomczyńska in Algebra universalis
    Article 13 July 2022
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