Algebra: An Approach via Module Theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1992
|
| Schriftenreihe: | Graduate Texts in Mathematics
136 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the principal distinguishing feature of this book is its point of view. Many textbooks tend to be encyclopedic. We have tried to write one that is thematic, with a consistent point of view. The theme, as indicated by our title, is that of modules (though our intention has not been to write a textbook purely on module theory). We begin with some group and ring theory, to set the stage, and then, in the heart of the book, develop module theory. Having developed it, we present some of its applications: canonical forms for linear transformations, bilinear forms, and group representations. Why modules? The answer is that they are a basic unifying concept in mathematics. The reader is probably already familiar with the basic role that vector spaces play in mathematics, and modules are a generalization of vector spaces. (To be precise, modules are to rings as vector spaces are to fields |
| Beschreibung: | 1 Online-Ressource (X, 526 p) |
| ISBN: | 9781461209232 9781461269489 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-0923-2 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042419675 | ||
| 003 | DE-604 | ||
| 005 | 20210216 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1992 |||| o||u| ||||||eng d | ||
| 020 | |a 9781461209232 |c Online |9 978-1-4612-0923-2 | ||
| 020 | |a 9781461269489 |c Print |9 978-1-4612-6948-9 | ||
| 024 | 7 | |a 10.1007/978-1-4612-0923-2 |2 doi | |
| 035 | |a (OCoLC)1184264046 | ||
| 035 | |a (DE-599)BVBBV042419675 | ||
| 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 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Adkins, William A. |e Verfasser |0 (DE-588)1027716318 |4 aut | |
| 245 | 1 | 0 | |a Algebra |b An Approach via Module Theory |c by William A. Adkins, Steven H. Weintraub |
| 264 | 1 | |a New York, NY |b Springer New York |c 1992 | |
| 300 | |a 1 Online-Ressource (X, 526 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Graduate Texts in Mathematics |v 136 |x 0072-5285 | |
| 500 | |a This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the principal distinguishing feature of this book is its point of view. Many textbooks tend to be encyclopedic. We have tried to write one that is thematic, with a consistent point of view. The theme, as indicated by our title, is that of modules (though our intention has not been to write a textbook purely on module theory). We begin with some group and ring theory, to set the stage, and then, in the heart of the book, develop module theory. Having developed it, we present some of its applications: canonical forms for linear transformations, bilinear forms, and group representations. Why modules? The answer is that they are a basic unifying concept in mathematics. The reader is probably already familiar with the basic role that vector spaces play in mathematics, and modules are a generalization of vector spaces. (To be precise, modules are to rings as vector spaces are to fields | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Algebra | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Algebra |0 (DE-588)4001156-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Modultheorie |0 (DE-588)4170336-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Algebra |0 (DE-588)4001156-2 |D s |
| 689 | 0 | 1 | |a Modultheorie |0 (DE-588)4170336-4 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Weintraub, Steven H. |d 1951- |e Sonstige |0 (DE-588)113001770 |4 oth | |
| 830 | 0 | |a Graduate Texts in Mathematics |v 136 |w (DE-604)BV035421258 |9 136 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4612-0923-2 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027855092 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153090572550144 |
|---|---|
| any_adam_object | |
| author | Adkins, William A. |
| author_GND | (DE-588)1027716318 (DE-588)113001770 |
| author_facet | Adkins, William A. |
| author_role | aut |
| author_sort | Adkins, William A. |
| author_variant | w a a wa waa |
| building | Verbundindex |
| bvnumber | BV042419675 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184264046 (DE-599)BVBBV042419675 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0923-2 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02983nmm a2200493zcb4500</leader><controlfield tag="001">BV042419675</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210216 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1992 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461209232</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4612-0923-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461269489</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4612-6948-9</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4612-0923-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1184264046</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042419675</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</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">Adkins, William A.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1027716318</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Algebra</subfield><subfield code="b">An Approach via Module Theory</subfield><subfield code="c">by William A. Adkins, Steven H. Weintraub</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer New York</subfield><subfield code="c">1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (X, 526 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">136</subfield><subfield code="x">0072-5285</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the principal distinguishing feature of this book is its point of view. Many textbooks tend to be encyclopedic. We have tried to write one that is thematic, with a consistent point of view. The theme, as indicated by our title, is that of modules (though our intention has not been to write a textbook purely on module theory). We begin with some group and ring theory, to set the stage, and then, in the heart of the book, develop module theory. Having developed it, we present some of its applications: canonical forms for linear transformations, bilinear forms, and group representations. Why modules? The answer is that they are a basic unifying concept in mathematics. The reader is probably already familiar with the basic role that vector spaces play in mathematics, and modules are a generalization of vector spaces. (To be precise, modules are to rings as vector spaces are to fields</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">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Modultheorie</subfield><subfield code="0">(DE-588)4170336-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Modultheorie</subfield><subfield code="0">(DE-588)4170336-4</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">Weintraub, Steven H.</subfield><subfield code="d">1951-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)113001770</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Graduate Texts in Mathematics</subfield><subfield code="v">136</subfield><subfield code="w">(DE-604)BV035421258</subfield><subfield code="9">136</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4612-0923-2</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><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="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027855092</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></record></collection> |
| id | DE-604.BV042419675 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461209232 9781461269489 |
| issn | 0072-5285 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855092 |
| oclc_num | 1184264046 |
| 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, 526 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer New York |
| record_format | marc |
| series | Graduate Texts in Mathematics |
| series2 | Graduate Texts in Mathematics |
| spelling | Adkins, William A. Verfasser (DE-588)1027716318 aut Algebra An Approach via Module Theory by William A. Adkins, Steven H. Weintraub New York, NY Springer New York 1992 1 Online-Ressource (X, 526 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 136 0072-5285 This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the principal distinguishing feature of this book is its point of view. Many textbooks tend to be encyclopedic. We have tried to write one that is thematic, with a consistent point of view. The theme, as indicated by our title, is that of modules (though our intention has not been to write a textbook purely on module theory). We begin with some group and ring theory, to set the stage, and then, in the heart of the book, develop module theory. Having developed it, we present some of its applications: canonical forms for linear transformations, bilinear forms, and group representations. Why modules? The answer is that they are a basic unifying concept in mathematics. The reader is probably already familiar with the basic role that vector spaces play in mathematics, and modules are a generalization of vector spaces. (To be precise, modules are to rings as vector spaces are to fields Mathematics Algebra Mathematik Algebra (DE-588)4001156-2 gnd rswk-swf Modultheorie (DE-588)4170336-4 gnd rswk-swf Algebra (DE-588)4001156-2 s Modultheorie (DE-588)4170336-4 s 1\p DE-604 Weintraub, Steven H. 1951- Sonstige (DE-588)113001770 oth Graduate Texts in Mathematics 136 (DE-604)BV035421258 136 https://doi.org/10.1007/978-1-4612-0923-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Adkins, William A. Algebra An Approach via Module Theory Graduate Texts in Mathematics Mathematics Algebra Mathematik Algebra (DE-588)4001156-2 gnd Modultheorie (DE-588)4170336-4 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4170336-4 |
| title | Algebra An Approach via Module Theory |
| title_auth | Algebra An Approach via Module Theory |
| title_exact_search | Algebra An Approach via Module Theory |
| title_full | Algebra An Approach via Module Theory by William A. Adkins, Steven H. Weintraub |
| title_fullStr | Algebra An Approach via Module Theory by William A. Adkins, Steven H. Weintraub |
| title_full_unstemmed | Algebra An Approach via Module Theory by William A. Adkins, Steven H. Weintraub |
| title_short | Algebra |
| title_sort | algebra an approach via module theory |
| title_sub | An Approach via Module Theory |
| topic | Mathematics Algebra Mathematik Algebra (DE-588)4001156-2 gnd Modultheorie (DE-588)4170336-4 gnd |
| topic_facet | Mathematics Algebra Mathematik Modultheorie |
| url | https://doi.org/10.1007/978-1-4612-0923-2 |
| volume_link | (DE-604)BV035421258 |
| work_keys_str_mv | AT adkinswilliama algebraanapproachviamoduletheory AT weintraubstevenh algebraanapproachviamoduletheory |