Factoring ideals in integral domains:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2013
|
| Series: | Lecture Notes of the Unione Matematica Italiana
14 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | VIII, 164 S. 235 mm x 155 mm |
| ISBN: | 3642317111 9783642317118 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV040494687 | ||
| 003 | DE-604 | ||
| 005 | 20121127 | ||
| 007 | t | ||
| 008 | 121019s2013 gw |||| 00||| eng d | ||
| 015 | |a 12,N25 |2 dnb | ||
| 016 | 7 | |a 1023292335 |2 DE-101 | |
| 020 | |a 3642317111 |9 3-642-31711-1 | ||
| 020 | |a 9783642317118 |c Pb. : ca. EUR 37.40 (DE) (freier Pr.), ca. EUR 38.50 (AT) (freier Pr.), ca. sfr 47.00 (freier Pr.) |9 978-3-642-31711-8 | ||
| 024 | 3 | |a 9783642317118 | |
| 028 | 5 | 2 | |a Best.-Nr.: 86130014 |
| 035 | |a (OCoLC)815961078 | ||
| 035 | |a (DE-599)DNB1023292335 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BE | ||
| 049 | |a DE-91G |a DE-188 | ||
| 082 | 0 | |a 512.42 |2 22/ger | |
| 084 | |a 510 |2 sdnb | ||
| 084 | |a MAT 135f |2 stub | ||
| 100 | 1 | |a Fontana, Marco |d 1947- |e Verfasser |0 (DE-588)139350543 |4 aut | |
| 245 | 1 | 0 | |a Factoring ideals in integral domains |c Marco Fontana ; Evan Houston ; Thomas Lucas |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2013 | |
| 300 | |a VIII, 164 S. |c 235 mm x 155 mm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture Notes of the Unione Matematica Italiana |v 14 | |
| 650 | 0 | 7 | |a Faktorisierung |0 (DE-588)4128927-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ideal |g Mathematik |0 (DE-588)4161198-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Integritätsbereich |0 (DE-588)4266311-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Ideal |g Mathematik |0 (DE-588)4161198-6 |D s |
| 689 | 0 | 1 | |a Faktorisierung |0 (DE-588)4128927-4 |D s |
| 689 | 0 | 2 | |a Integritätsbereich |0 (DE-588)4266311-8 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Houston, Evan G. |e Verfasser |4 aut | |
| 700 | 1 | |a Lucas, Thomas |e Verfasser |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-642-31712-5 |
| 830 | 0 | |a Lecture Notes of the Unione Matematica Italiana |v 14 |w (DE-604)BV022297190 |9 14 | |
| 856 | 4 | 2 | |m X:MVB |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=4056630&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025341596&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-025341596 | |
Record in the Search Index
| _version_ | 1809404152311185408 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS
1 INTRODUCTION 1
2 SHARPNESS AND TRACE PROPERTIES 5
2.1 /;-LOCAL DOMAINS 5
2.2 SHARP AND DOUBLE SHARP DOMAINS 9
2.3 SHARP AND ANTESHARP PRIMES 11
2.4 TRACE PROPERTIES 20
2.5 SHARP PRIMES AND INTERSECTIONS 28
3 FACTORING IDEALS IN ALMOST DEDEKIND DOMAINS AND GENERALIZED DEDEKIND
DOMAINS 39
3.1 FACTORING WITH RADICAL IDEALS 39
3.2 FACTORING FAMILIES FOR ALMOST DEDEKIND DOMAINS 45
3.3 FACTORING DIVISORIAL IDEALS IN GENERALIZED DEDEKIND DOMAINS 47 3.4
CONSTRUCTING ALMOST DEDEKIND DOMAINS 5 0
4 WEAK, STRONG AND VERY STRONG FACTORIZATION 71
4.1 HISTORY 71
4.2 WEAK FACTORIZATION 73
4.3 OVERRINGS AND WEAK FACTORIZATION 82
4.4 FINITE DIVISORIAL CLOSURE 87
5 PSEUDO-DEDEKIND AND STRONG PSEUDO-DEDEKIND FACTORIZATION 95 5.1
PSEUDO-DEDEKIND FACTORIZATION 95
5.2 LOCAL DOMAINS WITH PSEUDO-DEDEKIND FACTORIZATION 100
5.3 STRONG PSEUDO-DEDEKIND FACTORIZATION 108
5.4 FACTORIZATION AND THE RING R ( X ) 114
6 FACTORIZATION AND INTERSECTIONS O F OVERRINGS 119
6.1 /I-LOCAL MAXIMAL IDEALS 119
6.2 INDEPENDENT PAIRS O F OVERRINGS 126
V I I
HTTP://D-NB.INFO/1023292335
IMAGE 2
VIII CONTENTS
6.3 JAFFARD FAMILIES AND MATLIS PARTITIONS 129
6.4 FACTORIZATION EXAMPLES 136
SYMBOLS AND DEFINITIONS 153
REFERENCES 159
INDEX 163 |
| any_adam_object | 1 |
| author | Fontana, Marco 1947- Houston, Evan G. Lucas, Thomas |
| author_GND | (DE-588)139350543 |
| author_facet | Fontana, Marco 1947- Houston, Evan G. Lucas, Thomas |
| author_role | aut aut aut |
| author_sort | Fontana, Marco 1947- |
| author_variant | m f mf e g h eg egh t l tl |
| building | Verbundindex |
| bvnumber | BV040494687 |
| classification_tum | MAT 135f |
| ctrlnum | (OCoLC)815961078 (DE-599)DNB1023292335 |
| dewey-full | 512.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.42 |
| dewey-search | 512.42 |
| dewey-sort | 3512.42 |
| dewey-tens | 510 - Mathematics |
| 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">BV040494687</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20121127</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">121019s2013 gw |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">12,N25</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1023292335</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3642317111</subfield><subfield code="9">3-642-31711-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642317118</subfield><subfield code="c">Pb. : ca. EUR 37.40 (DE) (freier Pr.), ca. EUR 38.50 (AT) (freier Pr.), ca. sfr 47.00 (freier Pr.)</subfield><subfield code="9">978-3-642-31711-8</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783642317118</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">Best.-Nr.: 86130014</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)815961078</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1023292335</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-BE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.42</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 135f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Fontana, Marco</subfield><subfield code="d">1947-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)139350543</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Factoring ideals in integral domains</subfield><subfield code="c">Marco Fontana ; Evan Houston ; Thomas Lucas</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2013</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 164 S.</subfield><subfield code="c">235 mm x 155 mm</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 of the Unione Matematica Italiana</subfield><subfield code="v">14</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Faktorisierung</subfield><subfield code="0">(DE-588)4128927-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ideal</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4161198-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Integritätsbereich</subfield><subfield code="0">(DE-588)4266311-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Ideal</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4161198-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Faktorisierung</subfield><subfield code="0">(DE-588)4128927-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Integritätsbereich</subfield><subfield code="0">(DE-588)4266311-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Houston, Evan G.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lucas, Thomas</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</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">978-3-642-31712-5</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture Notes of the Unione Matematica Italiana</subfield><subfield code="v">14</subfield><subfield code="w">(DE-604)BV022297190</subfield><subfield code="9">14</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">X:MVB</subfield><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=4056630&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB 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=025341596&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-025341596</subfield></datafield></record></collection> |
| id | DE-604.BV040494687 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-06T00:24:27Z |
| institution | BVB |
| isbn | 3642317111 9783642317118 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025341596 |
| oclc_num | 815961078 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-188 |
| physical | VIII, 164 S. 235 mm x 155 mm |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| series | Lecture Notes of the Unione Matematica Italiana |
| series2 | Lecture Notes of the Unione Matematica Italiana |
| spelling | Fontana, Marco 1947- Verfasser (DE-588)139350543 aut Factoring ideals in integral domains Marco Fontana ; Evan Houston ; Thomas Lucas Berlin [u.a.] Springer 2013 VIII, 164 S. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture Notes of the Unione Matematica Italiana 14 Faktorisierung (DE-588)4128927-4 gnd rswk-swf Ideal Mathematik (DE-588)4161198-6 gnd rswk-swf Integritätsbereich (DE-588)4266311-8 gnd rswk-swf Ideal Mathematik (DE-588)4161198-6 s Faktorisierung (DE-588)4128927-4 s Integritätsbereich (DE-588)4266311-8 s 1\p DE-604 Houston, Evan G. Verfasser aut Lucas, Thomas Verfasser aut Erscheint auch als Online-Ausgabe 978-3-642-31712-5 Lecture Notes of the Unione Matematica Italiana 14 (DE-604)BV022297190 14 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4056630&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025341596&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fontana, Marco 1947- Houston, Evan G. Lucas, Thomas Factoring ideals in integral domains Lecture Notes of the Unione Matematica Italiana Faktorisierung (DE-588)4128927-4 gnd Ideal Mathematik (DE-588)4161198-6 gnd Integritätsbereich (DE-588)4266311-8 gnd |
| subject_GND | (DE-588)4128927-4 (DE-588)4161198-6 (DE-588)4266311-8 |
| title | Factoring ideals in integral domains |
| title_auth | Factoring ideals in integral domains |
| title_exact_search | Factoring ideals in integral domains |
| title_full | Factoring ideals in integral domains Marco Fontana ; Evan Houston ; Thomas Lucas |
| title_fullStr | Factoring ideals in integral domains Marco Fontana ; Evan Houston ; Thomas Lucas |
| title_full_unstemmed | Factoring ideals in integral domains Marco Fontana ; Evan Houston ; Thomas Lucas |
| title_short | Factoring ideals in integral domains |
| title_sort | factoring ideals in integral domains |
| topic | Faktorisierung (DE-588)4128927-4 gnd Ideal Mathematik (DE-588)4161198-6 gnd Integritätsbereich (DE-588)4266311-8 gnd |
| topic_facet | Faktorisierung Ideal Mathematik Integritätsbereich |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4056630&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025341596&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV022297190 |
| work_keys_str_mv | AT fontanamarco factoringidealsinintegraldomains AT houstonevang factoringidealsinintegraldomains AT lucasthomas factoringidealsinintegraldomains |