000 | 02922nam a22005415i 4500 | ||
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001 | 978-3-642-21774-6 | ||
003 | DE-He213 | ||
005 | 20190213151603.0 | ||
007 | cr nn 008mamaa | ||
008 | 110707s2011 gw | s |||| 0|eng d | ||
020 |
_a9783642217746 _9978-3-642-21774-6 |
||
024 | 7 |
_a10.1007/978-3-642-21774-6 _2doi |
|
050 | 4 | _aQA150-272 | |
072 | 7 |
_aPBF _2bicssc |
|
072 | 7 |
_aMAT002000 _2bisacsh |
|
072 | 7 |
_aPBF _2thema |
|
082 | 0 | 4 |
_a512 _223 |
100 | 1 |
_aGillibert, Pierre. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aFrom Objects to Diagrams for Ranges of Functors _h[electronic resource] / _cby Pierre Gillibert, Friedrich Wehrung. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011. |
|
300 |
_aX, 158 p. 19 illus. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2029 |
|
505 | 0 | _a1 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. | |
520 | _aThis 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. | ||
650 | 0 | _aAlgebra. | |
650 | 0 | _aLogic, Symbolic and mathematical. | |
650 | 0 | _aK-theory. | |
650 | 1 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
650 | 2 | 4 |
_aCategory Theory, Homological Algebra. _0http://scigraph.springernature.com/things/product-market-codes/M11035 |
650 | 2 | 4 |
_aGeneral Algebraic Systems. _0http://scigraph.springernature.com/things/product-market-codes/M1106X |
650 | 2 | 4 |
_aOrder, Lattices, Ordered Algebraic Structures. _0http://scigraph.springernature.com/things/product-market-codes/M11124 |
650 | 2 | 4 |
_aMathematical Logic and Foundations. _0http://scigraph.springernature.com/things/product-market-codes/M24005 |
650 | 2 | 4 |
_aK-Theory. _0http://scigraph.springernature.com/things/product-market-codes/M11086 |
700 | 1 |
_aWehrung, Friedrich. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642217739 |
776 | 0 | 8 |
_iPrinted edition: _z9783642217753 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2029 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-21774-6 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c11193 _d11193 |