From Objects to Diagrams for Ranges of Functors [[electronic resource] /] / by Pierre Gillibert, Friedrich Wehrung

• Autore: Gillibert Pierre
• Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011
• Edizione: 1st ed. 2011.
• Descrizione fisica: 1 online resource (X, 158 p. 19 illus.)
• Disciplina: 512
• Soggetto topico: Algebra; Category theory (Mathematics); Homological algebra; Ordered algebraic structures; Mathematical logic; K-theory; Category Theory, Homological Algebra; General Algebraic Systems; Order, Lattices, Ordered Algebraic Structures; Mathematical Logic and Foundations; K-Theory
• Classificazione: 18A3018A2518A2018A3503E0505D1006A0706A12
• Persona (resp. second.): WehrungFriedrich
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 1 Background -- 2 Boolean Algebras Scaled with Respect to a Poset -- 3 The Condensate Lifting Lemma (CLL) -- 4 Larders from First-order Structures -- 5 Congruence-Preserving Extensions -- 6 Larders from von Neumann Regular Rings -- 7 Discussion.
• Sommario/riassunto: This work introduces tools from the field of category theory that make it possible to tackle a number of representation problems that have remained unsolvable to date (e.g. the determination of the range of a given functor). The basic idea is: if a functor lifts many objects, then it also lifts many (poset-indexed) diagrams.
• Titolo autorizzato: From Objects to Diagrams for Ranges of Functors
• ISBN: 3-642-21774-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466505003316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 2029