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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Subquasivariety Lattices in Languages with Equality
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Subquasivariety Lattices in Languages with Equality
Jennifer Hyndman, J. B. Nation (Broschiert, Englisch)
Optischer Zustand
Beschreibung
This book addresses the notoriously difficult problem of characterizing lattices of subquasivarieties of a quasivariety.Not every lattice can be represented as a lattice of subquasivarieties. Of those that can be represented, some cannot be represented in languages with equality. Exploration of the connection between lattices of algebraically closed subsets and subquasivariety lattices yields new… avenues for determining if a lattice can be represented as a lattice of subquasivarieties.Both longstyle representations and the new strong shortstyle representations guarantee representations in a language with equality.The two complementary methods not only generate extensive new families of examples, but also reveal structural constraints previously unknown. Highlights of the book include a detailed summary of the current knowledge on properties of subquasivariety lattices with emphasis on equaclosure operators; detailed examples of longstyle and strong shortstyle representations and methods for creating lattices that can be represented in a language with equality; necessary conditions on an equaclosure operator on a lattice for a representation to exist; techniques for creating new longstyle representable lattices from existing representations; a thorough discussion on the representability of distributive lattices; a new equaclosure operator property required for a represenation; and a new lattice theoretic property required for a representation.A concluding collection of open problems highlights the many avenues still left to explore, inviting readers to advance the field further. This book is ideal for graduate students in mathematics with interests in logic, universal algebra, or lattice theory. Researchers will find the new techniques and results indispensable tools for probing the structure of subquasivarieties lattices. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
11.09.2026
Sprache
Englisch
EAN
9783032221780
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
SpringerBriefs in Mathematics
Sonderedition
Nein
Autor
Jennifer Hyndman, J. B. Nation
Seitenanzahl
123
Einbandart
Broschiert
Schlagwörter
quasivariety, subquasivariety lattice, language with equality, relative variety, algebraic subset, equaclosure operator, longstyle representation, strong shortstyle representation
Thema-Inhalt
PBF - Algebra
PBCD - Mathematik: Logik
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Switzerland AG, Europaplatz 3,69115 Heidelberg, Germany, Heidelberg, Deutschland, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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