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From objects to diagrams for ranges of functors
"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...
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Main Author: | |
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Corporate Author: | |
Other Authors: | |
Format: | eBook |
Language: | English |
Published: |
Berlin ; Heidelberg ; New York :
Springer-Verlag,
©2011.
Berlin ; Heidelberg ; New York : [2011] |
Series: | Lecture notes in mathematics (Springer-Verlag) ;
2029. |
Physical Description: |
1 online resource (x, 158 pages) : illustrations. |
Subjects: | |
Online Access: | SpringerLink - Click here for access |
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100 | 1 | |a Gillibert, Pierre. |0 https://id.loc.gov/authorities/names/nb2011021248. | |
245 | 1 | 0 | |a From objects to diagrams for ranges of functors / |c Pierre Gillibert, Friedrich Wehrung. |
260 | |a Berlin ; |a Heidelberg ; |a New York : |b Springer-Verlag, |c ©2011. | ||
264 | 1 | |a Berlin ; |a Heidelberg ; |a New York : |b Springer-Verlag, |c [2011] | |
264 | 4 | |c ©2011. | |
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490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 2029. | |
520 | |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."--Page 4 of cover. | ||
504 | |a Includes bibliographical references (pages 143-146) and indexes. | ||
505 | 0 | |a 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. | |
588 | 0 | |a Print version record. | |
546 | |a English. | ||
650 | 0 | |a Functor theory. |0 https://id.loc.gov/authorities/subjects/sh85052360. | |
650 | 0 | |a Algebra, Boolean. |0 https://id.loc.gov/authorities/subjects/sh85003429. | |
650 | 0 | |a Algebraic logic. |0 https://id.loc.gov/authorities/subjects/sh85003435. | |
650 | 6 | |a Théorie des foncteurs. | |
650 | 6 | |a Algèbre de Boole. | |
650 | 6 | |a Logique algébrique. | |
650 | 7 | |a Algebra, Boolean. |2 fast. | |
650 | 7 | |a Algebraic logic. |2 fast. | |
650 | 7 | |a Functor theory. |2 fast. | |
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