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

1st ed. 2011.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 2011
大きさ X, 158 p. 19 illus : online resource
著者標目 *Gillibert, Pierre author
Wehrung, Friedrich author
SpringerLink (Online service)
件 名 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
一般注記 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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Springer eBooks 9783642217746
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データ種別 電子ブック
分 類 LCC:QA150-272
DC23:512
書誌ID 4000119289
ISBN 9783642217746

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