Commutative coherent rings:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin, [u.a.]
Springer
[1989]
|
| Series: | Lecture notes in mathematics
1371 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 328 - 335 |
| Physical Description: | XI, 347 Seiten |
| ISBN: | 3540511156 0387511156 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV001834410 | ||
| 003 | DE-604 | ||
| 005 | 20240916 | ||
| 007 | t | ||
| 008 | 890424s1989 |||| 00||| eng d | ||
| 020 | |a 3540511156 |9 3-540-51115-6 | ||
| 020 | |a 0387511156 |9 0-387-51115-6 | ||
| 035 | |a (OCoLC)230981484 | ||
| 035 | |a (DE-599)BVBBV001834410 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-12 |a DE-384 |a DE-355 |a DE-20 |a DE-824 |a DE-29T |a DE-19 |a DE-706 |a DE-634 |a DE-188 |a DE-11 |a DE-83 | ||
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a 13C11 |2 msc/1980 | ||
| 084 | |a MAT 160f |2 stub | ||
| 100 | 1 | |a Glaz, Sarah |4 aut | |
| 245 | 1 | 0 | |a Commutative coherent rings |c Sarah Glaz |
| 264 | 1 | |a Berlin, [u.a.] |b Springer |c [1989] | |
| 264 | 4 | |c © 1989 | |
| 300 | |a XI, 347 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1371 | |
| 500 | |a Literaturverz. S. 328 - 335 | ||
| 650 | 0 | 7 | |a Kohärenz |0 (DE-588)4139923-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kommutativer kohärenter Ring |0 (DE-588)4212703-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ringtheorie |0 (DE-588)4126571-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kommutativer Ring |0 (DE-588)4164825-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kommutativer kohärenter Ring |0 (DE-588)4212703-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Kohärenz |0 (DE-588)4139923-7 |D s |
| 689 | 1 | 1 | |a Kommutativer Ring |0 (DE-588)4164825-0 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Ringtheorie |0 (DE-588)4126571-3 |D s |
| 689 | 2 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-540-46159-3 |
| 830 | 0 | |a Lecture notes in mathematics |v 1371 |w (DE-604)BV000676446 |9 1371 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001220239&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-001220239 | |
Record in the Search Index
| _version_ | 1810361983818530816 |
|---|---|
| adam_text |
Table of Contents
INTRODUCTION vii
CHAPTER 1 PRELIMINARIES
1. Protective and Injective Modules 1
2. Flatness 7
3. Homological Dimensions 17
4. Rings of Small Global and Weak Dimensions
Classical Results 23
CHAPTER 2 INTRODUCTION TO COHERENCE
1. Finitely Presented Modules 31
2. Elementary Properties of Coherent Modules 41
3. Definitions and Examples of Coherent Rings 44
4. Ideals, Quotients and Localizations 50
5. Homological Dimensions over Coherent Rings 55
6. Two Homological Characterizations of Coherent Rings . 63
CHAPTER 3 FUNDAMENTAL CONCEPTS
1. Change of Rings and Homological Dimensions 69
2. Zariski Topology, Projectivity and Rank 73
3. Associated Primes 85
4. Fitting Invariants and Euler Characteristic 96
5. Koszul Complexes 101
CHAPTER 4 RING EXTENSIONS
1. Special Ring Extensions 108
2. Min(R) and the Total Ring of Quotients of R 112
3. The Maximal Flat Epimorphic Extension of R 130
4. Trivial Ring Extensions and the X Dimension 139
CHAPTER 5 RING CONSTRUCTIONS AND OVERRINGS
1. Cartesian Squares 149
2. D + M Constructions 159
3. Overrings and Integral Closure 170
4. Coherent Pairs 182
CHAPTER 6 PARTICULAR COHERENT RINGS
1. Uniform Coherent Rings 190
2. Regular and Super Regular Coherent Rings 200
3. Rings of Global and Weak Dimension Two 212
4. Rings of Small Ng Dimension 221
CHAPTER 7 POLYNOMIAL RINGS
1. Non Noetherian Grade 228
2. Reduction Theorems 248
3. Stably Coherent Rings 255
4. Uppers of Zero and the Relation to
the Integral Closure 264
CHAPTER 8 COHERENT ALGEBRAS
1. Power Series Rings 280
2. Group Rings 293
3. Symmetric Algebras 306
4. Rings of Continuous Functions 321
REFERENCES 328
INDEX OF SYMBOLS 336
GENERAL INDEX 338 |
| any_adam_object | 1 |
| author | Glaz, Sarah |
| author_facet | Glaz, Sarah |
| author_role | aut |
| author_sort | Glaz, Sarah |
| author_variant | s g sg |
| building | Verbundindex |
| bvnumber | BV001834410 |
| classification_rvk | SI 850 |
| classification_tum | MAT 160f |
| ctrlnum | (OCoLC)230981484 (DE-599)BVBBV001834410 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV001834410</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240916</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890424s1989 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540511156</subfield><subfield code="9">3-540-51115-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387511156</subfield><subfield code="9">0-387-51115-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)230981484</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV001834410</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">13C11</subfield><subfield code="2">msc/1980</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 160f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Glaz, Sarah</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Commutative coherent rings</subfield><subfield code="c">Sarah Glaz</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">[1989]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 1989</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 347 Seiten</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1371</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 328 - 335</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kohärenz</subfield><subfield code="0">(DE-588)4139923-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kommutativer kohärenter Ring</subfield><subfield code="0">(DE-588)4212703-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ringtheorie</subfield><subfield code="0">(DE-588)4126571-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kommutativer Ring</subfield><subfield code="0">(DE-588)4164825-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kommutativer kohärenter Ring</subfield><subfield code="0">(DE-588)4212703-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Kohärenz</subfield><subfield code="0">(DE-588)4139923-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Kommutativer Ring</subfield><subfield code="0">(DE-588)4164825-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Ringtheorie</subfield><subfield code="0">(DE-588)4126571-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-3-540-46159-3</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1371</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">1371</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001220239&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001220239</subfield></datafield></record></collection> |
| id | DE-604.BV001834410 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-16T14:08:46Z |
| institution | BVB |
| isbn | 3540511156 0387511156 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001220239 |
| oclc_num | 230981484 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-12 DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-188 DE-11 DE-83 |
| owner_facet | DE-91G DE-BY-TUM DE-12 DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-188 DE-11 DE-83 |
| physical | XI, 347 Seiten |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Glaz, Sarah aut Commutative coherent rings Sarah Glaz Berlin, [u.a.] Springer [1989] © 1989 XI, 347 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1371 Literaturverz. S. 328 - 335 Kohärenz (DE-588)4139923-7 gnd rswk-swf Kommutativer kohärenter Ring (DE-588)4212703-8 gnd rswk-swf Ringtheorie (DE-588)4126571-3 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf Kommutativer kohärenter Ring (DE-588)4212703-8 s DE-604 Kohärenz (DE-588)4139923-7 s Kommutativer Ring (DE-588)4164825-0 s Ringtheorie (DE-588)4126571-3 s Erscheint auch als Online-Ausgabe 978-3-540-46159-3 Lecture notes in mathematics 1371 (DE-604)BV000676446 1371 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001220239&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Glaz, Sarah Commutative coherent rings Lecture notes in mathematics Kohärenz (DE-588)4139923-7 gnd Kommutativer kohärenter Ring (DE-588)4212703-8 gnd Ringtheorie (DE-588)4126571-3 gnd Kommutativer Ring (DE-588)4164825-0 gnd |
| subject_GND | (DE-588)4139923-7 (DE-588)4212703-8 (DE-588)4126571-3 (DE-588)4164825-0 |
| title | Commutative coherent rings |
| title_auth | Commutative coherent rings |
| title_exact_search | Commutative coherent rings |
| title_full | Commutative coherent rings Sarah Glaz |
| title_fullStr | Commutative coherent rings Sarah Glaz |
| title_full_unstemmed | Commutative coherent rings Sarah Glaz |
| title_short | Commutative coherent rings |
| title_sort | commutative coherent rings |
| topic | Kohärenz (DE-588)4139923-7 gnd Kommutativer kohärenter Ring (DE-588)4212703-8 gnd Ringtheorie (DE-588)4126571-3 gnd Kommutativer Ring (DE-588)4164825-0 gnd |
| topic_facet | Kohärenz Kommutativer kohärenter Ring Ringtheorie Kommutativer Ring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001220239&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT glazsarah commutativecoherentrings |