Differential tensor algebras and their module categories:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2009
|
| Edition: | 1. publ. |
| Series: | London Mathematical Society lecture note series
362 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | IX, 452 S. graph. Darst. |
| ISBN: | 9780521757683 |
Staff View
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV035752071 | ||
| 003 | DE-604 | ||
| 005 | 20130521 | ||
| 007 | t | ||
| 008 | 091002s2009 xxud||| |||| 00||| eng d | ||
| 010 | |a 2009014316 | ||
| 020 | |a 9780521757683 |c pbk. |9 978-0-521-75768-3 | ||
| 035 | |a (OCoLC)311769481 | ||
| 035 | |a (DE-599)BVBBV035752071 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-384 |a DE-91G |a DE-19 |a DE-824 |a DE-703 |a DE-11 | ||
| 050 | 0 | |a QA200 | |
| 082 | 0 | |a 512/.57 | |
| 084 | |a SI 320 |0 (DE-625)143123: |2 rvk | ||
| 084 | |a SK 220 |0 (DE-625)143224: |2 rvk | ||
| 084 | |a SK 230 |0 (DE-625)143225: |2 rvk | ||
| 084 | |a MAT 180f |2 stub | ||
| 084 | |a MAT 162f |2 stub | ||
| 084 | |a MAT 157f |2 stub | ||
| 100 | 1 | |a Bautista, Raymundo |d 1943- |e Verfasser |0 (DE-588)139412565 |4 aut | |
| 245 | 1 | 0 | |a Differential tensor algebras and their module categories |c R. Bautista, L. Salmerón and R. Zuazua |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2009 | |
| 300 | |a IX, 452 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series |v 362 | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Tensor algebra | |
| 650 | 4 | |a Representations of algebras | |
| 650 | 4 | |a Categories (Mathematics) | |
| 650 | 0 | 7 | |a Tensoralgebra |0 (DE-588)4505278-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Modulkategorie |0 (DE-588)4170335-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Tensoralgebra |0 (DE-588)4505278-5 |D s |
| 689 | 0 | 1 | |a Modulkategorie |0 (DE-588)4170335-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Salmerón, L. |e Verfasser |0 (DE-588)139408029 |4 aut | |
| 700 | 1 | |a Zuazua, R. |e Verfasser |0 (DE-588)139408053 |4 aut | |
| 830 | 0 | |a London Mathematical Society lecture note series |v 362 |w (DE-604)BV000000130 |9 362 | |
| 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=018612104&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-018612104 | ||
Record in the Search Index
| _version_ | 1804140671141937152 |
|---|---|
| adam_text | Titel: Differential tensor algebras and their module categories
Autor: Bautista, R.
Jahr: 2009
Contents
Preface page vii
1 t-algebras and differentials 1
2 Ditalgebras and modules 4
3 Bocses, ditalgebras and modules 13
4 Layered ditalgebras 18
5 Triangular ditalgebras 23
6 Exact structures in yl-Mod 32
7 Almost split conflations in *A-Mod 47
8 Quotient ditalgebras 56
9 Frames and Roiter ditalgebras 66
10 Product of ditalgebras 71
11 Horn-tensor relations and dual basis 74
12 Admissible modules 82
13 Complete admissible modules 98
14 Bimodule filtrations and triangular admissible modules 108
15 Free bimodule filtrations and free ditalgebras ] 17
16 Ax is a Roiter ditalgebra, for suitable X 128
17 Examples and applications 133
18 The exact categories V{ A), V (A) and A -Mod 144
19 Passage from ditalgebras to finite-dimensional algebras 154
20 Scalar extension and ditalgebras 169
21 Bimodules 184
22 Parametrizing bimodules and wildness 197
23 Nested and seminested ditalgebras 215
24 Critical ditalgebras 246
25 Reduction functors 260
26 Modules over non-wild ditalgebras 272
27 Tameness and wildness 284
28 Modules over non-wild ditalgebras revisited 292
29 Modules over non-wild algebras 314
30 Absolute wildness 327
31 Generic modules and tameness 335
32 Almost split sequences and tameness 345
33 Varieties of modules over ditalgebras 360
34 Ditalgebras of partially ordered sets 376
35 Further examples of wild ditalgebras 384
36 Answers to selected exercises 397
References 446
Index 449
|
| any_adam_object | 1 |
| author | Bautista, Raymundo 1943- Salmerón, L. Zuazua, R. |
| author_GND | (DE-588)139412565 (DE-588)139408029 (DE-588)139408053 |
| author_facet | Bautista, Raymundo 1943- Salmerón, L. Zuazua, R. |
| author_role | aut aut aut |
| author_sort | Bautista, Raymundo 1943- |
| author_variant | r b rb l s ls r z rz |
| building | Verbundindex |
| bvnumber | BV035752071 |
| callnumber-first | Q - Science |
| callnumber-label | QA200 |
| callnumber-raw | QA200 |
| callnumber-search | QA200 |
| callnumber-sort | QA 3200 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 320 SK 220 SK 230 |
| classification_tum | MAT 180f MAT 162f MAT 157f |
| ctrlnum | (OCoLC)311769481 (DE-599)BVBBV035752071 |
| dewey-full | 512/.57 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.57 |
| dewey-search | 512/.57 |
| dewey-sort | 3512 257 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02167nam a2200553zcb4500</leader><controlfield tag="001">BV035752071</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20130521 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">091002s2009 xxud||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2009014316</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780521757683</subfield><subfield code="c">pbk.</subfield><subfield code="9">978-0-521-75768-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)311769481</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV035752071</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="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA200</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.57</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 320</subfield><subfield code="0">(DE-625)143123:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 220</subfield><subfield code="0">(DE-625)143224:</subfield><subfield code="2">rvk</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">MAT 180f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 162f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 157f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bautista, Raymundo</subfield><subfield code="d">1943-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)139412565</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Differential tensor algebras and their module categories</subfield><subfield code="c">R. Bautista, L. Salmerón and R. Zuazua</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge [u.a.]</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 452 S.</subfield><subfield code="b">graph. Darst.</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">London Mathematical Society lecture note series</subfield><subfield code="v">362</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Tensor algebra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Representations of algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Categories (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Tensoralgebra</subfield><subfield code="0">(DE-588)4505278-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Modulkategorie</subfield><subfield code="0">(DE-588)4170335-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Tensoralgebra</subfield><subfield code="0">(DE-588)4505278-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Modulkategorie</subfield><subfield code="0">(DE-588)4170335-2</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">Salmerón, L.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)139408029</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zuazua, R.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)139408053</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">London Mathematical Society lecture note series</subfield><subfield code="v">362</subfield><subfield code="w">(DE-604)BV000000130</subfield><subfield code="9">362</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=018612104&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-018612104</subfield></datafield></record></collection> |
| id | DE-604.BV035752071 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:03:41Z |
| institution | BVB |
| isbn | 9780521757683 |
| language | English |
| lccn | 2009014316 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018612104 |
| oclc_num | 311769481 |
| open_access_boolean | |
| owner | DE-384 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-824 DE-703 DE-11 |
| owner_facet | DE-384 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-824 DE-703 DE-11 |
| physical | IX, 452 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society lecture note series |
| series2 | London Mathematical Society lecture note series |
| spelling | Bautista, Raymundo 1943- Verfasser (DE-588)139412565 aut Differential tensor algebras and their module categories R. Bautista, L. Salmerón and R. Zuazua 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2009 IX, 452 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society lecture note series 362 Includes bibliographical references and index Tensor algebra Representations of algebras Categories (Mathematics) Tensoralgebra (DE-588)4505278-5 gnd rswk-swf Modulkategorie (DE-588)4170335-2 gnd rswk-swf Tensoralgebra (DE-588)4505278-5 s Modulkategorie (DE-588)4170335-2 s DE-604 Salmerón, L. Verfasser (DE-588)139408029 aut Zuazua, R. Verfasser (DE-588)139408053 aut London Mathematical Society lecture note series 362 (DE-604)BV000000130 362 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018612104&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bautista, Raymundo 1943- Salmerón, L. Zuazua, R. Differential tensor algebras and their module categories London Mathematical Society lecture note series Tensor algebra Representations of algebras Categories (Mathematics) Tensoralgebra (DE-588)4505278-5 gnd Modulkategorie (DE-588)4170335-2 gnd |
| subject_GND | (DE-588)4505278-5 (DE-588)4170335-2 |
| title | Differential tensor algebras and their module categories |
| title_auth | Differential tensor algebras and their module categories |
| title_exact_search | Differential tensor algebras and their module categories |
| title_full | Differential tensor algebras and their module categories R. Bautista, L. Salmerón and R. Zuazua |
| title_fullStr | Differential tensor algebras and their module categories R. Bautista, L. Salmerón and R. Zuazua |
| title_full_unstemmed | Differential tensor algebras and their module categories R. Bautista, L. Salmerón and R. Zuazua |
| title_short | Differential tensor algebras and their module categories |
| title_sort | differential tensor algebras and their module categories |
| topic | Tensor algebra Representations of algebras Categories (Mathematics) Tensoralgebra (DE-588)4505278-5 gnd Modulkategorie (DE-588)4170335-2 gnd |
| topic_facet | Tensor algebra Representations of algebras Categories (Mathematics) Tensoralgebra Modulkategorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018612104&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT bautistaraymundo differentialtensoralgebrasandtheirmodulecategories AT salmeronl differentialtensoralgebrasandtheirmodulecategories AT zuazuar differentialtensoralgebrasandtheirmodulecategories |