Commutative Algebra: Volume II
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1960
|
| Schriftenreihe: | Graduate Texts in Mathematics
29 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-3-662-29244-0 |
| Beschreibung: | This second volume of our treatise on commutative algebra deals largely with three basic topics, which go beyond the more or less classical material of volume I and are on the whole of a more advanced nature and a more recent vintage. These topics are: (a) valuation theory; (b) theory of polynomial and power series rings (including generalizations to graded rings and modules); (c) local algebra. Because most of these topics have either their source or their best motivation in algebraic geometry, the algebro-geometric connections and applications of the purely algebraic material are constantly stressed and abundantly scattered throughout the exposition. Thus, this volume can be used in part as an introduction to some basic concepts and the arithmetic foundations of algebraic geometry. The reader who is not immediately concerned with geometric applications may omit the algebro-geometric material in a first reading (see" Instructions to the reader," page vii), but it is only fair to say that many a reader will find it more instructive to find out immediately what is the geometric motivation behind the purely algebraic material of this volume. The first 8 sections of Chapter VI (including § 5bis) deal directly with properties of places, rather than with those of the valuation associated with a place. These, therefore, are properties of valuations in which the value group of the valuation is not involved |
| Umfang: | 1 Online-Ressource (X, 416 p) |
| ISBN: | 9783662292440 9783662277539 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-3-662-29244-0 |
Internformat
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042423524 | ||
| 003 | DE-604 | ||
| 005 | 20170918 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1960 xx o|||| 00||| eng d | ||
| 020 | |a 9783662292440 |c Online |9 978-3-662-29244-0 | ||
| 020 | |a 9783662277539 |c Print |9 978-3-662-27753-9 | ||
| 024 | 7 | |a 10.1007/978-3-662-29244-0 |2 doi | |
| 035 | |a (OCoLC)906698811 | ||
| 035 | |a (DE-599)BVBBV042423524 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 512.44 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Zariski, Oscar |d 1899-1986 |e Verfasser |0 (DE-588)119042940 |4 aut | |
| 245 | 1 | 0 | |a Commutative Algebra |b Volume II |c by Oscar Zariski, Pierre Samuel |
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1960 | |
| 300 | |a 1 Online-Ressource (X, 416 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Graduate Texts in Mathematics |v 29 |x 0072-5285 | |
| 500 | |a This second volume of our treatise on commutative algebra deals largely with three basic topics, which go beyond the more or less classical material of volume I and are on the whole of a more advanced nature and a more recent vintage. These topics are: (a) valuation theory; (b) theory of polynomial and power series rings (including generalizations to graded rings and modules); (c) local algebra. Because most of these topics have either their source or their best motivation in algebraic geometry, the algebro-geometric connections and applications of the purely algebraic material are constantly stressed and abundantly scattered throughout the exposition. Thus, this volume can be used in part as an introduction to some basic concepts and the arithmetic foundations of algebraic geometry. The reader who is not immediately concerned with geometric applications may omit the algebro-geometric material in a first reading (see" Instructions to the reader," page vii), but it is only fair to say that many a reader will find it more instructive to find out immediately what is the geometric motivation behind the purely algebraic material of this volume. The first 8 sections of Chapter VI (including § 5bis) deal directly with properties of places, rather than with those of the valuation associated with a place. These, therefore, are properties of valuations in which the value group of the valuation is not involved | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Algebra | |
| 650 | 4 | |a Commutative Rings and Algebras | |
| 650 | 4 | |a Mathematik | |
| 700 | 1 | |a Samuel, Pierre |d 1921-2009 |e Sonstige |0 (DE-588)1089946481 |4 oth | |
| 830 | 0 | |a Graduate Texts in Mathematics |v 29 |w (DE-604)BV000000067 |9 29 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-662-29244-0 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027858941 | |
Datensatz im Suchindex
| DE-BY-TUM_katkey | 2070533 |
|---|---|
| _version_ | 1821931364406001664 |
| any_adam_object | |
| author | Zariski, Oscar 1899-1986 |
| author_GND | (DE-588)119042940 (DE-588)1089946481 |
| author_facet | Zariski, Oscar 1899-1986 |
| author_role | aut |
| author_sort | Zariski, Oscar 1899-1986 |
| author_variant | o z oz |
| building | Verbundindex |
| bvnumber | BV042423524 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)906698811 (DE-599)BVBBV042423524 |
| dewey-full | 512.44 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.44 |
| dewey-search | 512.44 |
| dewey-sort | 3512.44 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-29244-0 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02924nam a2200445zcb4500</leader><controlfield tag="001">BV042423524</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20170918 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1960 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783662292440</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-662-29244-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783662277539</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-662-27753-9</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-662-29244-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)906698811</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042423524</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.44</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zariski, Oscar</subfield><subfield code="d">1899-1986</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)119042940</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Commutative Algebra</subfield><subfield code="b">Volume II</subfield><subfield code="c">by Oscar Zariski, Pierre Samuel</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">1960</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (X, 416 p)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Graduate Texts in Mathematics</subfield><subfield code="v">29</subfield><subfield code="x">0072-5285</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This second volume of our treatise on commutative algebra deals largely with three basic topics, which go beyond the more or less classical material of volume I and are on the whole of a more advanced nature and a more recent vintage. These topics are: (a) valuation theory; (b) theory of polynomial and power series rings (including generalizations to graded rings and modules); (c) local algebra. Because most of these topics have either their source or their best motivation in algebraic geometry, the algebro-geometric connections and applications of the purely algebraic material are constantly stressed and abundantly scattered throughout the exposition. Thus, this volume can be used in part as an introduction to some basic concepts and the arithmetic foundations of algebraic geometry. The reader who is not immediately concerned with geometric applications may omit the algebro-geometric material in a first reading (see" Instructions to the reader," page vii), but it is only fair to say that many a reader will find it more instructive to find out immediately what is the geometric motivation behind the purely algebraic material of this volume. The first 8 sections of Chapter VI (including § 5bis) deal directly with properties of places, rather than with those of the valuation associated with a place. These, therefore, are properties of valuations in which the value group of the valuation is not involved</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Commutative Rings and Algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Samuel, Pierre</subfield><subfield code="d">1921-2009</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)1089946481</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Graduate Texts in Mathematics</subfield><subfield code="v">29</subfield><subfield code="w">(DE-604)BV000000067</subfield><subfield code="9">29</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-662-29244-0</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027858941</subfield></datafield></record></collection> |
| id | DE-604.BV042423524 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:49Z |
| institution | BVB |
| isbn | 9783662292440 9783662277539 |
| issn | 0072-5285 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858941 |
| oclc_num | 906698811 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (X, 416 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1960 |
| publishDateSearch | 1960 |
| publishDateSort | 1960 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series | Graduate Texts in Mathematics |
| series2 | Graduate Texts in Mathematics |
| spellingShingle | Zariski, Oscar 1899-1986 Commutative Algebra Volume II Graduate Texts in Mathematics Mathematics Algebra Commutative Rings and Algebras Mathematik |
| title | Commutative Algebra Volume II |
| title_auth | Commutative Algebra Volume II |
| title_exact_search | Commutative Algebra Volume II |
| title_full | Commutative Algebra Volume II by Oscar Zariski, Pierre Samuel |
| title_fullStr | Commutative Algebra Volume II by Oscar Zariski, Pierre Samuel |
| title_full_unstemmed | Commutative Algebra Volume II by Oscar Zariski, Pierre Samuel |
| title_short | Commutative Algebra |
| title_sort | commutative algebra volume ii |
| title_sub | Volume II |
| topic | Mathematics Algebra Commutative Rings and Algebras Mathematik |
| topic_facet | Mathematics Algebra Commutative Rings and Algebras Mathematik |
| url | https://doi.org/10.1007/978-3-662-29244-0 |
| volume_link | (DE-604)BV000000067 |
| work_keys_str_mv | AT zariskioscar commutativealgebravolumeii AT samuelpierre commutativealgebravolumeii |