Graded rings and graded Grothendieck groups:
This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then foc...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2016
|
| Series: | London Mathematical Society lecture note series
435 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then focuses in more detail on Grothendieck groups, Morita theory, Picard groups and K-theory. The author extends known results in the ungraded case to the graded setting and gathers together important results which are currently scattered throughout the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 May 2016) |
| Physical Description: | 1 online resource (vii, 235 pages) |
| ISBN: | 9781316717134 |
| DOI: | 10.1017/CBO9781316717134 |
Staff View
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043940261 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2016 |||| o||u| ||||||eng d | ||
| 020 | |a 9781316717134 |c Online |9 978-1-316-71713-4 | ||
| 024 | 7 | |a 10.1017/CBO9781316717134 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781316717134 | ||
| 035 | |a (OCoLC)967600652 | ||
| 035 | |a (DE-599)BVBBV043940261 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 | ||
| 082 | 0 | |a 512/.4 |2 23 | |
| 100 | 1 | |a Hazrat, Roozbeh |d 1971- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Graded rings and graded Grothendieck groups |c Roozbeh Hazrat, University of Western Sydney |
| 246 | 1 | 3 | |a Graded Rings & Graded Grothendieck Groups |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2016 | |
| 300 | |a 1 online resource (vii, 235 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a London Mathematical Society lecture note series |v 435 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 May 2016) | ||
| 520 | |a This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then focuses in more detail on Grothendieck groups, Morita theory, Picard groups and K-theory. The author extends known results in the ungraded case to the graded setting and gathers together important results which are currently scattered throughout the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory | ||
| 650 | 4 | |a Grothendieck groups | |
| 650 | 4 | |a Graded rings | |
| 650 | 4 | |a Rings (Algebra) | |
| 650 | 0 | 7 | |a Graduierter Modul |0 (DE-588)4158002-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Graduierter Ring |0 (DE-588)4158003-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Grothendieck-Gruppe |0 (DE-588)4158321-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Graduierter Ring |0 (DE-588)4158003-5 |D s |
| 689 | 0 | 1 | |a Graduierter Modul |0 (DE-588)4158002-3 |D s |
| 689 | 0 | 2 | |a Grothendieck-Gruppe |0 (DE-588)4158321-8 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-1-316-61958-2 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9781316717134 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029349231 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1017/CBO9781316717134 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781316717134 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1804176880595632128 |
|---|---|
| any_adam_object | |
| author | Hazrat, Roozbeh 1971- |
| author_facet | Hazrat, Roozbeh 1971- |
| author_role | aut |
| author_sort | Hazrat, Roozbeh 1971- |
| author_variant | r h rh |
| building | Verbundindex |
| bvnumber | BV043940261 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781316717134 (OCoLC)967600652 (DE-599)BVBBV043940261 |
| 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/CBO9781316717134 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02817nmm a2200529zcb4500</leader><controlfield tag="001">BV043940261</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2016 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781316717134</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-316-71713-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9781316717134</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781316717134</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)967600652</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043940261</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></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.4</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hazrat, Roozbeh</subfield><subfield code="d">1971-</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Graded rings and graded Grothendieck groups</subfield><subfield code="c">Roozbeh Hazrat, University of Western Sydney</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Graded Rings & Graded Grothendieck Groups</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2016</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (vii, 235 pages)</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">London Mathematical Society lecture note series</subfield><subfield code="v">435</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 May 2016)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then focuses in more detail on Grothendieck groups, Morita theory, Picard groups and K-theory. The author extends known results in the ungraded case to the graded setting and gathers together important results which are currently scattered throughout the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Grothendieck groups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Graded rings</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Rings (Algebra)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Graduierter Modul</subfield><subfield code="0">(DE-588)4158002-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Graduierter Ring</subfield><subfield code="0">(DE-588)4158003-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Grothendieck-Gruppe</subfield><subfield code="0">(DE-588)4158321-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Graduierter Ring</subfield><subfield code="0">(DE-588)4158003-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Graduierter Modul</subfield><subfield code="0">(DE-588)4158002-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Grothendieck-Gruppe</subfield><subfield code="0">(DE-588)4158321-8</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="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-1-316-61958-2</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9781316717134</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:BVB01-029349231</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="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781316717134</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/CBO9781316717134</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></record></collection> |
| id | DE-604.BV043940261 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781316717134 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349231 |
| oclc_num | 967600652 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (vii, 235 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Hazrat, Roozbeh 1971- Verfasser aut Graded rings and graded Grothendieck groups Roozbeh Hazrat, University of Western Sydney Graded Rings & Graded Grothendieck Groups Cambridge Cambridge University Press 2016 1 online resource (vii, 235 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 435 Title from publisher's bibliographic system (viewed on 05 May 2016) This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then focuses in more detail on Grothendieck groups, Morita theory, Picard groups and K-theory. The author extends known results in the ungraded case to the graded setting and gathers together important results which are currently scattered throughout the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory Grothendieck groups Graded rings Rings (Algebra) Graduierter Modul (DE-588)4158002-3 gnd rswk-swf Graduierter Ring (DE-588)4158003-5 gnd rswk-swf Grothendieck-Gruppe (DE-588)4158321-8 gnd rswk-swf Graduierter Ring (DE-588)4158003-5 s Graduierter Modul (DE-588)4158002-3 s Grothendieck-Gruppe (DE-588)4158321-8 s 1\p DE-604 Erscheint auch als Druckausgabe 978-1-316-61958-2 https://doi.org/10.1017/CBO9781316717134 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hazrat, Roozbeh 1971- Graded rings and graded Grothendieck groups Grothendieck groups Graded rings Rings (Algebra) Graduierter Modul (DE-588)4158002-3 gnd Graduierter Ring (DE-588)4158003-5 gnd Grothendieck-Gruppe (DE-588)4158321-8 gnd |
| subject_GND | (DE-588)4158002-3 (DE-588)4158003-5 (DE-588)4158321-8 |
| title | Graded rings and graded Grothendieck groups |
| title_alt | Graded Rings & Graded Grothendieck Groups |
| title_auth | Graded rings and graded Grothendieck groups |
| title_exact_search | Graded rings and graded Grothendieck groups |
| title_full | Graded rings and graded Grothendieck groups Roozbeh Hazrat, University of Western Sydney |
| title_fullStr | Graded rings and graded Grothendieck groups Roozbeh Hazrat, University of Western Sydney |
| title_full_unstemmed | Graded rings and graded Grothendieck groups Roozbeh Hazrat, University of Western Sydney |
| title_short | Graded rings and graded Grothendieck groups |
| title_sort | graded rings and graded grothendieck groups |
| topic | Grothendieck groups Graded rings Rings (Algebra) Graduierter Modul (DE-588)4158002-3 gnd Graduierter Ring (DE-588)4158003-5 gnd Grothendieck-Gruppe (DE-588)4158321-8 gnd |
| topic_facet | Grothendieck groups Graded rings Rings (Algebra) Graduierter Modul Graduierter Ring Grothendieck-Gruppe |
| url | https://doi.org/10.1017/CBO9781316717134 |
| work_keys_str_mv | AT hazratroozbeh gradedringsandgradedgrothendieckgroups AT hazratroozbeh gradedringsgradedgrothendieckgroups |