From objects to diagrams for ranges of functors /

From objects to diagrams for ranges of functors /

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Bibliographic Details
Author / Creator:	Gillibert, Pierre.
Imprint:	Berlin ; Heidelberg ; New York : Springer-Verlag, ©2011.
Description:	1 online resource (x, 158 pages) : illustrations.
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 2029 Lecture notes in mathematics (Springer-Verlag) ; 2029.
Subject:	Functor theory. Algebra, Boolean. Algebraic logic. Algebra, Boolean. Algebraic logic. Functor theory.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11076350

Hidden Bibliographic Details
Other authors / contributors:	Wehrung, F. (Friedrich), 1961-
ISBN:	9783642217746 3642217745 9783642217739 3642217737
Notes:	Includes bibliographical references (pages 143-146) and indexes. Print version record.
Summary:	"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."--Page 4 of cover.
Other form:	Print version: Gillibert, Pierre. From objects to diagrams for ranges of functors. Berlin ; Heidelberg ; New York : Springer-Verlag, ©2011 9783642217739

Table of Contents:

Background
Boolean algebras that are scaled with respect to a poset
The condensate lifting lemma (CLL)
Getting larders from congruence lattices of first-order structures
congruence-permutable, congruence-preserving extensions of lattices
Larders from Von Neumann regular rings
Discussion.