The lattice of subquasivarieties of a locally finite quasivariety. (2018)

• Record Type: Book
• Further Information: Note: Jennifer Hyndman, J.B. Nation.
• Authors: Hyndman, Jennifer; Nation, J. B (James Bryant), 1948-
• Contents: Intro; Preface; Contents; List of Figures; List of Tables; Chapter 1. Introduction and Background; 1.1. Introduction; 1.2. Background; 1.3. Review of Complete Lattices; Chapter 2. Structure of Lattices of Subquasivarieties; 2.1. Completely Join Irreducible Quasivarieties; 2.2. Reflections; 2.3. Completely Meet Irreducible Quasivarieties; 2.4. Quasivarieties of Modular Lattices; 2.5. Quasivarieties of Abelian Groups; 2.6. Quasivarieties of Infinite Type; Chapter 3. Omission and Bases for Quasivarieties; 3.1. Characterizing Quasivarieties by Excluded Subalgebras; 3.2. Pseudoquasivarieties Chapter 4. Analyzing Lq(K)4.1. Algorithms; 4.2. Fermentability; 4.3. Equational Quasivarieties; 4.4. The Atoms of Lq(K); 4.5. The Variety Z; 4.6. Synopsis; Chapter 5. Unary Algebras with 2-Element Range; 5.1. The Variety Generated by M; 5.2. Illustrating the Algorithms: 1-Generated Algebras; 5.3. Illustrating the Algorithms: 2-Generated Algebras; 5.4. Uncountably Many Subquasivarieties; 5.5. Q-Universality of M; Chapter 6. 1-Unary Algebras; 6.1. 1-Unary Algebras With and Without 0; 6.2. Some Quasivarieties Nr, s0; 6.3. Some Quasivarieties Nr, s; Chapter 7. Pure Unary Relational Structures 7.1. Pure Unary Relational Quasivarieties7.2. Quasicritical Lemmas; 7.3. One Unary Relation; 7.4. Two Unary Relations; 7.5. Adding a Constant; Chapter 8. Problems; Appendix A. Properties of Lattices of Subquasivarieties; A.1. Representations of Quasivariety Lattices; A.2. Representations of Quasivariety Lattices; A.3. Basic Consequences of the Representations; A.4. Equaclosure Operators; A.5. Examples of Quasivariety Lattices; A.6. The Quasivariety Generated by a Quasiprimal Algebra; A.7. Miscellaneous; Bibliography; Symbol Index; Author Index; Subject Index
• Publisher Details: Cham : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 512.897; Mathematics; Quasivarieties (Universal algebra); MATHEMATICS / Algebra / Intermediate; Mathematics -- Algebra -- General; Algebra; Algorithms; Algebra; Computers -- Programming -- Algorithms; Numerical analysis; Electronic books
• Languages: English
• ISBNs: 9783319782355; 3319782355
• Related ISBNs: 9783319782348; 3319782347
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (EBSCO, viewed August 31, 2018)
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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