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A Primer of Subquasivariety Lattices

BuchGebunden
290 Seiten
Englisch
Springererschienen am19.08.20221st ed. 2022
This book addresses Birkhoff and Mal'cev's problem of describing subquasivariety lattices. Subquasivariety lattices are represented as lattices of closed algebraic subsets of a lattice with operators, which yields new restrictions on the equaclosure operator.mehr
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BuchGebunden
EUR139,09
BuchKartoniert, Paperback
EUR96,29
E-BookPDF1 - PDF WatermarkE-Book
EUR96,29

Produkt

KlappentextThis book addresses Birkhoff and Mal'cev's problem of describing subquasivariety lattices. Subquasivariety lattices are represented as lattices of closed algebraic subsets of a lattice with operators, which yields new restrictions on the equaclosure operator.
Zusammenfassung
Uniquely develops universal algebra in languages that may not contain equality

Presents new results in representations of various types of lattices by subquasivarieties

Illustrates theory through concrete examples
Details
ISBN/GTIN978-3-030-98087-0
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2022
Erscheinungsdatum19.08.2022
Auflage1st ed. 2022
ReiheCMS/CAIMS Books in Mathematics
Seiten290 Seiten
SpracheEnglisch
IllustrationenIX, 290 p. 136 illus., 64 illus. in color.
Artikel-Nr.50446618

Inhalt/Kritik

Inhaltsverzeichnis
Preface.- Introduction.- Varieties and quasivarieties in general languages.- Equaclosure operators.- Preclops on finite lattices.- Finite lattices as Sub(S,â§, 1,����): The case J(L) â ���� (L).- Finite lattices as Sub(S,â§, 1,����): The case J(L) ̸â ���� (L).- The six-step program: From (L, ����) to (Lq(����), Î).- Lattices 1 + L as Lq(����).- Representing distributive dually algebraic lattices.- Problems and an advertisement.- Appendices.mehr
Kritik
"This is a research monograph that reports on investigations, both classical and new, into the structure of subquasivariety lattices. ... This monograph is a study of the structure of lattices of the form Lq(K). In this monograph, relation symbols are permitted. ... The monograph spans 290 pages and has 10 chapters and three appendices." (Keith A. Kearnes, Mathematical Reviews, April, 2024)mehr

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