Representation theory of Artin algebras:
This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is a suitable int...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1995
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
36 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is a suitable introduction for any mathematician (especially graduate students) to this field. The main aim of the book is to illustrate how the theory of almost split sequences is used in the representation theory of Artin algebras. However, other foundational aspects of the subject are developed. These results give concrete illustrations of some of the more abstract concepts and theorems. The book includes complete proofs of all theorems, and numerous exercises |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiv, 423 Seiten) |
| ISBN: | 9780511623608 |
| DOI: | 10.1017/CBO9780511623608 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043940918 | ||
| 003 | DE-604 | ||
| 005 | 20190124 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s1995 |||| o||u| ||||||eng d | ||
| 020 | |a 9780511623608 |c Online |9 978-0-511-62360-8 | ||
| 024 | 7 | |a 10.1017/CBO9780511623608 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9780511623608 | ||
| 035 | |a (OCoLC)849891146 | ||
| 035 | |a (DE-599)BVBBV043940918 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-355 | ||
| 082 | 0 | |a 512/.4 |2 20 | |
| 084 | |a SK 230 |0 (DE-625)143225: |2 rvk | ||
| 084 | |a SK 260 |0 (DE-625)143227: |2 rvk | ||
| 100 | 1 | |a Auslander, Maurice |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Representation theory of Artin algebras |c Maurice Auslander, Idun Reiten and Sverre O. Smalø |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1995 | |
| 300 | |a 1 online resource (xiv, 423 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Cambridge studies in advanced mathematics |v 36 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is a suitable introduction for any mathematician (especially graduate students) to this field. The main aim of the book is to illustrate how the theory of almost split sequences is used in the representation theory of Artin algebras. However, other foundational aspects of the subject are developed. These results give concrete illustrations of some of the more abstract concepts and theorems. The book includes complete proofs of all theorems, and numerous exercises | ||
| 650 | 4 | |a Artin rings | |
| 650 | 4 | |a Artin algebras | |
| 650 | 4 | |a Representations of algebras | |
| 650 | 0 | 7 | |a Darstellungstheorie |0 (DE-588)4148816-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Artinsche Algebra |0 (DE-588)4143137-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Artinsche Algebra |0 (DE-588)4143137-6 |D s |
| 689 | 0 | 1 | |a Darstellungstheorie |0 (DE-588)4148816-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Reiten, Idun |d 1942- |0 (DE-588)108418413 |4 aut | |
| 700 | 1 | |a Smalø, Sverre O. |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-41134-9 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-59923-8 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511623608 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029349888 | ||
| 966 | e | |u https://doi.org/10.1017/CBO9780511623608 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511623608 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511623608 |l UBR01 |p ZDB-20-CBO |q UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176882000723968 |
|---|---|
| any_adam_object | |
| author | Auslander, Maurice Reiten, Idun 1942- Smalø, Sverre O. |
| author_GND | (DE-588)108418413 |
| author_facet | Auslander, Maurice Reiten, Idun 1942- Smalø, Sverre O. |
| author_role | aut aut aut |
| author_sort | Auslander, Maurice |
| author_variant | m a ma i r ir s o s so sos |
| building | Verbundindex |
| bvnumber | BV043940918 |
| classification_rvk | SK 230 SK 260 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511623608 (OCoLC)849891146 (DE-599)BVBBV043940918 |
| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.4 |
| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511623608 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03039nmm a2200553zcb4500</leader><controlfield tag="001">BV043940918</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190124 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s1995 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511623608</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-511-62360-8</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9780511623608</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9780511623608</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)849891146</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043940918</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-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-355</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.4</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 230</subfield><subfield code="0">(DE-625)143225:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 260</subfield><subfield code="0">(DE-625)143227:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Auslander, Maurice</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Representation theory of Artin algebras</subfield><subfield code="c">Maurice Auslander, Idun Reiten and Sverre O. Smalø</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xiv, 423 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">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="0" ind2=" "><subfield code="a">Cambridge studies in advanced mathematics</subfield><subfield code="v">36</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is a suitable introduction for any mathematician (especially graduate students) to this field. The main aim of the book is to illustrate how the theory of almost split sequences is used in the representation theory of Artin algebras. However, other foundational aspects of the subject are developed. These results give concrete illustrations of some of the more abstract concepts and theorems. The book includes complete proofs of all theorems, and numerous exercises</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Artin rings</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Artin algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Representations of algebras</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Darstellungstheorie</subfield><subfield code="0">(DE-588)4148816-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Artinsche Algebra</subfield><subfield code="0">(DE-588)4143137-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Artinsche Algebra</subfield><subfield code="0">(DE-588)4143137-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Darstellungstheorie</subfield><subfield code="0">(DE-588)4148816-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Reiten, Idun</subfield><subfield code="d">1942-</subfield><subfield code="0">(DE-588)108418413</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Smalø, Sverre O.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-41134-9</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-59923-8</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9780511623608</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029349888</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511623608</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511623608</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511623608</subfield><subfield code="l">UBR01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBR Einzelkauf (Lückenergänzung CUP Serien 2018)</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043940918 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9780511623608 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349888 |
| oclc_num | 849891146 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 online resource (xiv, 423 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Auslander, Maurice Verfasser aut Representation theory of Artin algebras Maurice Auslander, Idun Reiten and Sverre O. Smalø Cambridge Cambridge University Press 1995 1 online resource (xiv, 423 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 36 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is a suitable introduction for any mathematician (especially graduate students) to this field. The main aim of the book is to illustrate how the theory of almost split sequences is used in the representation theory of Artin algebras. However, other foundational aspects of the subject are developed. These results give concrete illustrations of some of the more abstract concepts and theorems. The book includes complete proofs of all theorems, and numerous exercises Artin rings Artin algebras Representations of algebras Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Artinsche Algebra (DE-588)4143137-6 gnd rswk-swf Artinsche Algebra (DE-588)4143137-6 s Darstellungstheorie (DE-588)4148816-7 s DE-604 Reiten, Idun 1942- (DE-588)108418413 aut Smalø, Sverre O. aut Erscheint auch als Druckausgabe 978-0-521-41134-9 Erscheint auch als Druckausgabe 978-0-521-59923-8 https://doi.org/10.1017/CBO9780511623608 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Auslander, Maurice Reiten, Idun 1942- Smalø, Sverre O. Representation theory of Artin algebras Artin rings Artin algebras Representations of algebras Darstellungstheorie (DE-588)4148816-7 gnd Artinsche Algebra (DE-588)4143137-6 gnd |
| subject_GND | (DE-588)4148816-7 (DE-588)4143137-6 |
| title | Representation theory of Artin algebras |
| title_auth | Representation theory of Artin algebras |
| title_exact_search | Representation theory of Artin algebras |
| title_full | Representation theory of Artin algebras Maurice Auslander, Idun Reiten and Sverre O. Smalø |
| title_fullStr | Representation theory of Artin algebras Maurice Auslander, Idun Reiten and Sverre O. Smalø |
| title_full_unstemmed | Representation theory of Artin algebras Maurice Auslander, Idun Reiten and Sverre O. Smalø |
| title_short | Representation theory of Artin algebras |
| title_sort | representation theory of artin algebras |
| topic | Artin rings Artin algebras Representations of algebras Darstellungstheorie (DE-588)4148816-7 gnd Artinsche Algebra (DE-588)4143137-6 gnd |
| topic_facet | Artin rings Artin algebras Representations of algebras Darstellungstheorie Artinsche Algebra |
| url | https://doi.org/10.1017/CBO9780511623608 |
| work_keys_str_mv | AT auslandermaurice representationtheoryofartinalgebras AT reitenidun representationtheoryofartinalgebras AT smaløsverreo representationtheoryofartinalgebras |