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02520nam a22005775i 4500 |
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978-3-642-21774-6 |
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DE-He213 |
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20151204182220.0 |
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cr nn 008mamaa |
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110707s2011 gw | s |||| 0|eng d |
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|a 9783642217746
|9 978-3-642-21774-6
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|a 10.1007/978-3-642-21774-6
|2 doi
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|a QA150-272
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|a MAT002000
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|a 512
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|a Gillibert, Pierre.
|e author.
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|a From Objects to Diagrams for Ranges of Functors
|h [electronic resource] /
|c by Pierre Gillibert, Friedrich Wehrung.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2011.
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|a X, 158 p. 19 illus.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 2029
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|a 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.
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|a 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.
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|a Mathematics.
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|a Algebra.
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|a Category theory (Mathematics).
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|a Homological algebra.
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|a K-theory.
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|a Ordered algebraic structures.
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|a Mathematical logic.
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1 |
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|a Mathematics.
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| 650 |
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|a Algebra.
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| 650 |
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|a Category Theory, Homological Algebra.
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| 650 |
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|a General Algebraic Systems.
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| 650 |
2 |
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|a Order, Lattices, Ordered Algebraic Structures.
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| 650 |
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|a Mathematical Logic and Foundations.
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| 650 |
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|a K-Theory.
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| 700 |
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|a Wehrung, Friedrich.
|e author.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783642217739
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| 830 |
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 2029
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| 856 |
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|u http://dx.doi.org/10.1007/978-3-642-21774-6
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 912 |
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|a ZDB-2-LNM
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|a Mathematics and Statistics (Springer-11649)
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