Universal algebra : fundamentals and selected topics /: fundamentals and selected topics. (2011)

• Record Type: Book
• Further Information: Note: Clifford Bergman.
• Other Names: Bergman, C. H (Clifford H.), 1953-
• Contents: FUNDAMENTALS OF UNIVERSAL ALGEBRA; Algebras; Operations; Examples; More about subs, homs, and prods; Generating subalgebras; Congruences and quotient algebras Lattices; Ordered sets; Distributive and modular lattices; Complete lattices; Closure operators and algebraic lattices; Galois connections; Ideals in lattices The Nuts and Bolts of Universal Algebra; The isomorphism theorems; Direct products; Subdirect products; Case studies; Varieties and other classes of algebras Clones, Terms, and Equational Classes; Clones; Invariant relations; Terms and free algebras; Identities and Birkhoff’s theorem; The lattice of subvarieties; Equational theories and fully invariant congruences; Maltsev conditions; Interpretations SELECTED TOPICS; Congruence Distributive Varieties; Ultrafilters and ultraproducts; Jónsson’s lemma; Model theory; Finitely based and nonfinitely based algebras; Definable principal (sub)congruences Arithmetical Varieties; Large clones; How rare are primal algebras? Maltsev Varieties; Directly representable varieties; The centralizer congruence; Abelian varieties; Commutators; Directly representable varieties revisited; Minimal varieties; Functionally complete algebras Finite Algebras and Locally Finite Varieties ; Minimal algebras; Localization and induced algebras; Centralizers again!; Applications Bibliography Index
• Publisher Details: Place of publication not identified : Chapman and Hall/CRC
• Publication Date: 2011
• Extent: 1 online resource, illustrations
• Subjects: 512; Algebra, Universal; Algebraic logic
• Languages: English
• ISBNs: 9781439851302; 1439851301
• 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).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.