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＜E-Book＞
From Objects to Diagrams for Ranges of Functors / by Pierre Gillibert, Friedrich Wehrung
(Lecture Notes in Mathematics. ISSN:16179692 ; 2029)

Edition	1st ed. 2011.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2011
Size	X, 158 p. 19 illus : online resource
Authors	*Gillibert, Pierre author Wehrung, Friedrich author SpringerLink (Online service)
Subjects	LCSH:Algebra LCSH:Algebra, Homological LCSH:Universal algebra LCSH:Mathematical logic LCSH:K-theory FREE:Algebra FREE:Category Theory, Homological Algebra FREE:General Algebraic Systems FREE:Order, Lattices, Ordered Algebraic Structures FREE:Mathematical Logic and Foundations FREE:K-Theory
Notes	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 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 HTTP:URL=https://doi.org/10.1007/978-3-642-21774-6

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