Finite Commutative Rings and Their Applications:
Foreword by Dieter Jungnickel Finite Commutative Rings and their Applications answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields o...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
2002
|
| Schriftenreihe: | The Springer International Series in Engineering and Computer Science
680 |
| Schlagworte: | |
| Online-Zugang: | FHI01 BTU01 URL des Erstveröffentlichers |
| Zusammenfassung: | Foreword by Dieter Jungnickel Finite Commutative Rings and their Applications answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields of communication and coding theory. The book is a concrete and self-contained introduction to finite commutative local rings, focusing in particular on Galois and Quasi-Galois rings. The reader is provided with an active and concrete approach to the study of the purely algebraic structure and properties of finite commutative rings (in particular, Galois rings) as well as to their applications to coding theory. Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject. The section on Quasi-Galois rings presents new and unpublished results as well. The authors then introduce some applications of finite rings, in particular Galois rings, to coding theory, using a solid algebraic and geometric theoretical background |
| Beschreibung: | 1 Online-Ressource (X, 176 p) |
| ISBN: | 9781461509578 |
| DOI: | 10.1007/978-1-4615-0957-8 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV045148880 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 180827s2002 |||| o||u| ||||||eng d | ||
| 020 | |a 9781461509578 |9 978-1-4615-0957-8 | ||
| 024 | 7 | |a 10.1007/978-1-4615-0957-8 |2 doi | |
| 035 | |a (ZDB-2-ENG)978-1-4615-0957-8 | ||
| 035 | |a (OCoLC)1184436624 | ||
| 035 | |a (DE-599)BVBBV045148880 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-573 |a DE-634 | ||
| 082 | 0 | |a 621.3 |2 23 | |
| 100 | 1 | |a Bini, Gilberto |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Finite Commutative Rings and Their Applications |c by Gilberto Bini, Flaminio Flamini |
| 264 | 1 | |a Boston, MA |b Springer US |c 2002 | |
| 300 | |a 1 Online-Ressource (X, 176 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a The Springer International Series in Engineering and Computer Science |v 680 | |
| 520 | |a Foreword by Dieter Jungnickel Finite Commutative Rings and their Applications answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields of communication and coding theory. The book is a concrete and self-contained introduction to finite commutative local rings, focusing in particular on Galois and Quasi-Galois rings. The reader is provided with an active and concrete approach to the study of the purely algebraic structure and properties of finite commutative rings (in particular, Galois rings) as well as to their applications to coding theory. Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject. The section on Quasi-Galois rings presents new and unpublished results as well. The authors then introduce some applications of finite rings, in particular Galois rings, to coding theory, using a solid algebraic and geometric theoretical background | ||
| 650 | 4 | |a Engineering | |
| 650 | 4 | |a Electrical Engineering | |
| 650 | 4 | |a Coding and Information Theory | |
| 650 | 4 | |a Discrete Mathematics in Computer Science | |
| 650 | 4 | |a Engineering | |
| 650 | 4 | |a Coding theory | |
| 650 | 4 | |a Computer science / Mathematics | |
| 650 | 4 | |a Electrical engineering | |
| 650 | 0 | 7 | |a Kommutativer Ring |0 (DE-588)4164825-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kommutativer Ring |0 (DE-588)4164825-0 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Flamini, Flaminio |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781461353232 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4615-0957-8 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-2-ENG | ||
| 940 | 1 | |q ZDB-2-ENG_2000/2004 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030538579 | ||
| 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/10.1007/978-1-4615-0957-8 |l FHI01 |p ZDB-2-ENG |q ZDB-2-ENG_2000/2004 |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4615-0957-8 |l BTU01 |p ZDB-2-ENG |q ZDB-2-ENG_Archiv |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804178819599302656 |
|---|---|
| any_adam_object | |
| author | Bini, Gilberto Flamini, Flaminio |
| author_facet | Bini, Gilberto Flamini, Flaminio |
| author_role | aut aut |
| author_sort | Bini, Gilberto |
| author_variant | g b gb f f ff |
| building | Verbundindex |
| bvnumber | BV045148880 |
| collection | ZDB-2-ENG |
| ctrlnum | (ZDB-2-ENG)978-1-4615-0957-8 (OCoLC)1184436624 (DE-599)BVBBV045148880 |
| dewey-full | 621.3 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3 |
| dewey-search | 621.3 |
| dewey-sort | 3621.3 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| doi_str_mv | 10.1007/978-1-4615-0957-8 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03286nmm a2200541zcb4500</leader><controlfield tag="001">BV045148880</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">180827s2002 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461509578</subfield><subfield code="9">978-1-4615-0957-8</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4615-0957-8</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-2-ENG)978-1-4615-0957-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1184436624</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV045148880</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-573</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">621.3</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bini, Gilberto</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Finite Commutative Rings and Their Applications</subfield><subfield code="c">by Gilberto Bini, Flaminio Flamini</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston, MA</subfield><subfield code="b">Springer US</subfield><subfield code="c">2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (X, 176 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="0" ind2=" "><subfield code="a">The Springer International Series in Engineering and Computer Science</subfield><subfield code="v">680</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Foreword by Dieter Jungnickel Finite Commutative Rings and their Applications answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields of communication and coding theory. The book is a concrete and self-contained introduction to finite commutative local rings, focusing in particular on Galois and Quasi-Galois rings. The reader is provided with an active and concrete approach to the study of the purely algebraic structure and properties of finite commutative rings (in particular, Galois rings) as well as to their applications to coding theory. Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject. The section on Quasi-Galois rings presents new and unpublished results as well. The authors then introduce some applications of finite rings, in particular Galois rings, to coding theory, using a solid algebraic and geometric theoretical background</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Electrical Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Coding and Information Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Discrete Mathematics in Computer Science</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Coding theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computer science / Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Electrical engineering</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kommutativer Ring</subfield><subfield code="0">(DE-588)4164825-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kommutativer Ring</subfield><subfield code="0">(DE-588)4164825-0</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">Flamini, Flaminio</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781461353232</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4615-0957-8</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-2-ENG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-ENG_2000/2004</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030538579</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/10.1007/978-1-4615-0957-8</subfield><subfield code="l">FHI01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="q">ZDB-2-ENG_2000/2004</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4615-0957-8</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="q">ZDB-2-ENG_Archiv</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV045148880 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:02Z |
| institution | BVB |
| isbn | 9781461509578 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030538579 |
| oclc_num | 1184436624 |
| open_access_boolean | |
| owner | DE-573 DE-634 |
| owner_facet | DE-573 DE-634 |
| physical | 1 Online-Ressource (X, 176 p) |
| psigel | ZDB-2-ENG ZDB-2-ENG_2000/2004 ZDB-2-ENG ZDB-2-ENG_2000/2004 ZDB-2-ENG ZDB-2-ENG_Archiv |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer US |
| record_format | marc |
| series2 | The Springer International Series in Engineering and Computer Science |
| spelling | Bini, Gilberto Verfasser aut Finite Commutative Rings and Their Applications by Gilberto Bini, Flaminio Flamini Boston, MA Springer US 2002 1 Online-Ressource (X, 176 p) txt rdacontent c rdamedia cr rdacarrier The Springer International Series in Engineering and Computer Science 680 Foreword by Dieter Jungnickel Finite Commutative Rings and their Applications answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields of communication and coding theory. The book is a concrete and self-contained introduction to finite commutative local rings, focusing in particular on Galois and Quasi-Galois rings. The reader is provided with an active and concrete approach to the study of the purely algebraic structure and properties of finite commutative rings (in particular, Galois rings) as well as to their applications to coding theory. Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject. The section on Quasi-Galois rings presents new and unpublished results as well. The authors then introduce some applications of finite rings, in particular Galois rings, to coding theory, using a solid algebraic and geometric theoretical background Engineering Electrical Engineering Coding and Information Theory Discrete Mathematics in Computer Science Coding theory Computer science / Mathematics Electrical engineering Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 s 1\p DE-604 Flamini, Flaminio aut Erscheint auch als Druck-Ausgabe 9781461353232 https://doi.org/10.1007/978-1-4615-0957-8 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bini, Gilberto Flamini, Flaminio Finite Commutative Rings and Their Applications Engineering Electrical Engineering Coding and Information Theory Discrete Mathematics in Computer Science Coding theory Computer science / Mathematics Electrical engineering Kommutativer Ring (DE-588)4164825-0 gnd |
| subject_GND | (DE-588)4164825-0 |
| title | Finite Commutative Rings and Their Applications |
| title_auth | Finite Commutative Rings and Their Applications |
| title_exact_search | Finite Commutative Rings and Their Applications |
| title_full | Finite Commutative Rings and Their Applications by Gilberto Bini, Flaminio Flamini |
| title_fullStr | Finite Commutative Rings and Their Applications by Gilberto Bini, Flaminio Flamini |
| title_full_unstemmed | Finite Commutative Rings and Their Applications by Gilberto Bini, Flaminio Flamini |
| title_short | Finite Commutative Rings and Their Applications |
| title_sort | finite commutative rings and their applications |
| topic | Engineering Electrical Engineering Coding and Information Theory Discrete Mathematics in Computer Science Coding theory Computer science / Mathematics Electrical engineering Kommutativer Ring (DE-588)4164825-0 gnd |
| topic_facet | Engineering Electrical Engineering Coding and Information Theory Discrete Mathematics in Computer Science Coding theory Computer science / Mathematics Electrical engineering Kommutativer Ring |
| url | https://doi.org/10.1007/978-1-4615-0957-8 |
| work_keys_str_mv | AT binigilberto finitecommutativeringsandtheirapplications AT flaminiflaminio finitecommutativeringsandtheirapplications |