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19970807031300.0 |
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920825s1992 enk b 001 0 eng |
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|a 91037359
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| 020 |
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|a 0198535864 :
|c $52.50 (U.S.)
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|a (ICU)BID16043042
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|a (OCoLC)24630697
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|c DLC$dOrLoB
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|a QA251.3
|b .D54 1992
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| 082 |
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|a 512/.24
|2 20
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| 100 |
1 |
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|a Diers, Yves,
|d 1937-
|0 http://id.loc.gov/authorities/names/n85374467
|1 http://viaf.org/viaf/108207182
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| 245 |
1 |
0 |
|a Categories of commutative algebras /
|c Yves Diers.
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| 260 |
|
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|a Oxford ;
|a New York :
|b Oxford University Press,
|c 1992.
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| 263 |
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|a 9206
|
| 300 |
|
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|a ix, 271 p. ;
|c 24 cm.
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| 336 |
|
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|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
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| 337 |
|
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|a unmediated
|b n
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/n
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| 338 |
|
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|a volume
|b nc
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/nc
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| 504 |
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|a Includes bibliographical references and index.
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| 505 |
0 |
0 |
|g 1.
|t Zariski Categories.
|g 1.1.
|t Codisjunctors.
|g 1.2.
|t Definition of Zariski categories.
|g 1.3.
|t Examples of Zariski categories.
|g 1.4.
|t Products of objects and morphisms.
|g 1.5.
|t Congruences.
|g 1.6.
|t Flat morphisms.
|g 1.7.
|t Flat epimorphisms and flat bimorphisms.
|g 1.8.
|t Singular epimorphisms.
|g 1.9.
|t The presingular factorization --
|g 2.
|t Classical Objects.
|g 2.1.
|t Simple objects.
|g 2.2.
|t Integral objects.
|g 2.3.
|t Reduced objects.
|g 2.4.
|t Radical congruences.
|g 2.5.
|t Conjoint morphisms.
|g 2.6.
|t Pseudo-simple objects.
|g 2.7.
|t Quasi-primary objects.
|g 2.8.
|t Primary objects.
|g 2.9.
|t Singularly closed objects.
|g 2.10.
|t Irreducible objects.
|g 2.11.
|t Regular objects.
|g 2.12.
|t Local objects.
|g 2.13.
|t Localizations --
|g 3.
|t Spectra.
|g 3.1.
|t Prime spectra.
|g 3.2.
|t Maximal and patch spectra.
|g 3.3.
|t Topological interpretations.
|g 3.4.
|t Structure sheaf on the prime spectrum.
|g 3.5.
|t The cogenerating class of local objects.
|g 3.6.
|t Local properties.
|g 3.7.
|t Semisingular epimorphisms.
|g 3.8.
|t Subsets closed under generizations and affine subsets.
|g 3.9.
|t Direct factor congruences and clopen subsets.
|g 3.10.
|t Indecomposable objects --
|g 4.
|t Schemes.
|g 4.1.
|t Modelled spaces and locally modelled spaces.
|g 4.2.
|t Prime spectrum of a modelled space.
|g 4.3.
|t Schemes.
|g 4.4.
|t Subschemes, immersions, and embeddings of schemes.
|g 4.5.
|t Limits, colimits, and disjunctors of schemes.
|g 4.6.
|t Locally finitely presentable schemes --
|g 5.
|t Jacobson Ultraschemes.
|g 5.1.
|t Jacobson objects.
|g 5.2.
|t Jacobson schemes.
|g 5.3.
|t Jacobson ultraschemes --
|g 6.
|t Algebraic Varieties.
|g 6.1.
|t Algebraically closed simple objects.
|g 6.2.
|t Rational spectra.
|g 6.3.
|t Rational Zariski categories.
|g 6.4.
|t Reduced rational Zariski categories.
|g 6.5.
|t Algebraic spaces and algebraic varieties --
|g 7.
|t Zariski Toposes.
|g 7.1.
|t The Zariski topos of a Zariski category.
|g 7.2.
|t Modelled toposes on a Zariski category.
|g 7.3.
|t Morphisms of Zariski categories --
|g 8.
|t Neat Objects and Morphisms.
|g 8.1.
|t Preneat objects.
|g 8.2.
|t Neat objects.
|g 8.3.
|t Neatish objects.
|g 8.4.
|t Purely unneat objects.
|g 8.5.
|t Neatness of morphisms.
|g 8.6.
|t The neatish factorization.
|g 8.7.
|t Neatly closed objects --
|g 9.
|t Flatness Properties.
|g 9.1.
|t Flat, absolutely flat, and simply flat objects.
|g 9.2.
|t Flat, absolutely flat, and simply flat Zariski categories.
|g 9.3.
|t Faithfully (reflexively, properly) flat morphisms --
|g 10.
|t Etale Objects and Morphisms.
|g 10.1.
|t Etale objects.
|g 10.2.
|t Etalish objects.
|g 10.3.
|t Purely unetale objects.
|g 10.4.
|t Etaleness of morphisms.
|g 10.5.
|t Henselian objects.
|g 10.6.
|t Strictly local objects --
|g 11.
|t Terminators.
|g 11.1.
|t The term of a morphism.
|g 11.2.
|t Preterminal morphisms.
|g 11.3.
|t Interminable morphisms.
|g 11.4.
|t Amalgamation properties.
|g 11.5.
|t Terminators.
|g 11.6.
|t Topological interpretations.
|g 11.7.
|t Categories with finitely presentable terminators.
|g 11.8.
|t Chevalley's theorem in Zariski categories --
|g 12.
|t Some Constructions of Zariski Categories.
|g 12.1.
|t Coslice Zariski categories.
|g 12.2.
|t Functor Zariski categories.
|g 12.3.
|t Zariski full subcategories.
|
| 650 |
|
0 |
|a Commutative algebra
|0 http://id.loc.gov/authorities/subjects/sh85029267
|
| 650 |
|
0 |
|a Categories (Mathematics)
|0 http://id.loc.gov/authorities/subjects/sh85020992
|
| 650 |
|
7 |
|a Categories (Mathematics)
|2 fast
|0 http://id.worldcat.org/fast/fst00849000
|
| 650 |
|
7 |
|a Commutative algebra.
|2 fast
|0 http://id.worldcat.org/fast/fst00871202
|
| 850 |
|
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|a ICU
|
| 901 |
|
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|a ToCBNA
|
| 903 |
|
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|a HeVa
|
| 929 |
|
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|a cat
|
| 999 |
f |
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|i 90ce9616-6f0a-561b-8bd1-543d399571f8
|s 68d6e4d9-011d-5cac-bea6-4f528e476188
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| 928 |
|
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|t Library of Congress classification
|a QA251.3.D540 1992
|l Eck
|c Eck-Eck
|i 2194532
|
| 927 |
|
|
|t Library of Congress classification
|a QA251.3.D540 1992
|l Eck
|c Eck-Eck
|b 36724895
|i 2708752
|
