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Cover: 9783032117359 | Hoop Algebras | An Introduction | Anatolij Dvure¿enskij (u. a.) | Buch
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Hoop Algebras
An Introduction
Taschenbuch von Anatolij Dvure¿enskij (u. a.)
Sprache: Englisch

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Beschreibung
This book offers a comprehensive and in-depth exploration of hoop theory, a fascinating branch of algebra with deep connections to logic and other areas of mathematics. Among algebraic structures, hoops stand out as a rich subject of study, bridging the worlds of residuated lattices, BL-algebras, MV-algebras, and related systems.
Starting with fundamental concepts of algebraic and lattice-theoretical structures, the book gradually delves into the core theory of hoops, investigating their algebraic structure, properties, and relationships with other algebraic systems. Significant attention is also devoted to the lattice-theoretical properties of hoops, and the interplay between algebraic and logical perspectives is emphasized.

This book is intended for advanced undergraduates with a background in algebra and logic, Ph.D. students, and researchers. Featuring a number of examples and exercises, it serves as a valuable resource for those seeking a comprehensive and in-depth understanding of hoop theory and its applications.
This book offers a comprehensive and in-depth exploration of hoop theory, a fascinating branch of algebra with deep connections to logic and other areas of mathematics. Among algebraic structures, hoops stand out as a rich subject of study, bridging the worlds of residuated lattices, BL-algebras, MV-algebras, and related systems.
Starting with fundamental concepts of algebraic and lattice-theoretical structures, the book gradually delves into the core theory of hoops, investigating their algebraic structure, properties, and relationships with other algebraic systems. Significant attention is also devoted to the lattice-theoretical properties of hoops, and the interplay between algebraic and logical perspectives is emphasized.

This book is intended for advanced undergraduates with a background in algebra and logic, Ph.D. students, and researchers. Featuring a number of examples and exercises, it serves as a valuable resource for those seeking a comprehensive and in-depth understanding of hoop theory and its applications.
Inhaltsverzeichnis

Chapter 1. Basic notions.- Chapter 2. Pocrims and Related Structures.- Chapter 3. Structure of hoops.- Chapter 4. Filters and congruences of hoops.- Chapter 5. Algebraic structures related to hoops.- Chapter 6. Lattice-theoretical properties.- Chapter 7. State hoops.- Chapter 8. Appendix A - A trip into non-commutative structures.- Chapter 9. Appendix B.

Details
Erscheinungsjahr: 2026
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Frontiers in Mathematics
Inhalt: xv
363 S.
12 s/w Illustr.
8 farbige Illustr.
363 p. 20 illus.
8 illus. in color.
ISBN-13: 9783032117359
ISBN-10: 3032117356
Sprache: Englisch
Herstellernummer: 89591255
Einband: Kartoniert / Broschiert
Autor: Dvure¿enskij, Anatolij
Zahiri, Omid
Aaly Kologani, Mona
Borzooei, Rajab Ali
Hersteller: Springer
Birkhäuser
Springer International Publishing AG
Frontiers in Mathematics
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 240 x 168 x 21 mm
Von/Mit: Anatolij Dvure¿enskij (u. a.)
Erscheinungsdatum: 21.02.2026
Gewicht: 0,636 kg
Artikel-ID: 134587430
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