A first course in module theory:
This book is an introduction to module theory for the reader who knows something about linear algebra and ring theory. Its main aim is the derivation of the structure theory of modules over Euclidean domains. This theory is applied to obtain the structure of abelian groups and the rational canonical...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
c1998
|
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | This book is an introduction to module theory for the reader who knows something about linear algebra and ring theory. Its main aim is the derivation of the structure theory of modules over Euclidean domains. This theory is applied to obtain the structure of abelian groups and the rational canonical and Jordan normal forms of matrices. The basic facts about rings and modules are given in full generality, so that some further topics can be discussed, including projective modules and the connection between modules and representations of groups. The book is intended to serve as supplementary reading for the third or fourth year undergraduate who is taking a course in module theory. The further topics point the way to some projects that might be attempted in conjunction with a taught course |
| Beschreibung: | xv, 250 p. ill |
| ISBN: | 9781848160712 |
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| 520 | |a This book is an introduction to module theory for the reader who knows something about linear algebra and ring theory. Its main aim is the derivation of the structure theory of modules over Euclidean domains. This theory is applied to obtain the structure of abelian groups and the rational canonical and Jordan normal forms of matrices. The basic facts about rings and modules are given in full generality, so that some further topics can be discussed, including projective modules and the connection between modules and representations of groups. The book is intended to serve as supplementary reading for the third or fourth year undergraduate who is taking a course in module theory. The further topics point the way to some projects that might be attempted in conjunction with a taught course | ||
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| author | Keating, M. E. 1941- |
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| dewey-ones | 512 - Algebra |
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| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044633279 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:42Z |
| institution | BVB |
| isbn | 9781848160712 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030031251 |
| oclc_num | 1012665221 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xv, 250 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Imperial College Press |
| record_format | marc |
| spelling | Keating, M. E. 1941- Verfasser aut A first course in module theory M. E. Keating London Imperial College Press c1998 xv, 250 p. ill txt rdacontent c rdamedia cr rdacarrier This book is an introduction to module theory for the reader who knows something about linear algebra and ring theory. Its main aim is the derivation of the structure theory of modules over Euclidean domains. This theory is applied to obtain the structure of abelian groups and the rational canonical and Jordan normal forms of matrices. The basic facts about rings and modules are given in full generality, so that some further topics can be discussed, including projective modules and the connection between modules and representations of groups. The book is intended to serve as supplementary reading for the third or fourth year undergraduate who is taking a course in module theory. The further topics point the way to some projects that might be attempted in conjunction with a taught course Modules (Algebra) Erscheint auch als Druck-Ausgabe 186094096X Erscheint auch als Druck-Ausgabe 9781860940965 http://www.worldscientific.com/worldscibooks/10.1142/P082#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Keating, M. E. 1941- A first course in module theory Modules (Algebra) |
| title | A first course in module theory |
| title_auth | A first course in module theory |
| title_exact_search | A first course in module theory |
| title_full | A first course in module theory M. E. Keating |
| title_fullStr | A first course in module theory M. E. Keating |
| title_full_unstemmed | A first course in module theory M. E. Keating |
| title_short | A first course in module theory |
| title_sort | a first course in module theory |
| topic | Modules (Algebra) |
| topic_facet | Modules (Algebra) |
| url | http://www.worldscientific.com/worldscibooks/10.1142/P082#t=toc |
| work_keys_str_mv | AT keatingme afirstcourseinmoduletheory |