Finite Dimensional Algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1994
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This English edition has an additional chapter "Elements of Homological Al gebra". Homological methods appear to be effective in many problems in the theory of algebras; we hope their inclusion makes this book more complete and self-contained as a textbook. We have also taken this occasion to correct several inaccuracies and errors in the original Russian edition. We should like to express our gratitude to V. Dlab who has not only metic ulously translated the text, but has also contributed by writing an Appendix devoted to a new important class of algebras, viz. quasi-hereditary algebras. Finally, we are indebted to the publishers, Springer-Verlag, for enabling this book to reach such a wide audience in the world of mathematical community. Kiev, February 1993 Yu.A. Drozd V.V. Kirichenko Preface The theory of finite dimensional algebras is one of the oldest branches of modern algebra. Its origin is linked to the work of Hamilton who discovered the famous algebra of quaternions, and Cayley who developed matrix theory. Later finite dimensional algebras were studied by a large number of mathematicians including B. Peirce, C.S. Peirce, Clifford, ·Weierstrass, Dedekind, Jordan and Frobenius. At the end of the last century T. Molien and E. Cartan described the semisimple algebras over the complex and real fields and paved the first steps towards the study of non-semi simple algebras |
| Beschreibung: | 1 Online-Ressource (XIII, 249p) |
| ISBN: | 9783642762444 9783642762468 |
| DOI: | 10.1007/978-3-642-76244-4 |
Internformat
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| 500 | |a This English edition has an additional chapter "Elements of Homological Al gebra". Homological methods appear to be effective in many problems in the theory of algebras; we hope their inclusion makes this book more complete and self-contained as a textbook. We have also taken this occasion to correct several inaccuracies and errors in the original Russian edition. We should like to express our gratitude to V. Dlab who has not only metic ulously translated the text, but has also contributed by writing an Appendix devoted to a new important class of algebras, viz. quasi-hereditary algebras. Finally, we are indebted to the publishers, Springer-Verlag, for enabling this book to reach such a wide audience in the world of mathematical community. Kiev, February 1993 Yu.A. Drozd V.V. Kirichenko Preface The theory of finite dimensional algebras is one of the oldest branches of modern algebra. Its origin is linked to the work of Hamilton who discovered the famous algebra of quaternions, and Cayley who developed matrix theory. Later finite dimensional algebras were studied by a large number of mathematicians including B. Peirce, C.S. Peirce, Clifford, ·Weierstrass, Dedekind, Jordan and Frobenius. At the end of the last century T. Molien and E. Cartan described the semisimple algebras over the complex and real fields and paved the first steps towards the study of non-semi simple algebras | ||
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Datensatz im Suchindex
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| author | Drozd, Jurij Anatolijovyč 1944- |
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| author_facet | Drozd, Jurij Anatolijovyč 1944- |
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| author_variant | j a d ja jad |
| building | Verbundindex |
| bvnumber | BV042422987 |
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| dewey-full | 512.66 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-search | 512.66 |
| dewey-sort | 3512.66 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-76244-4 |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9783642762444 9783642762468 |
| language | English |
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| spelling | Drozd, Jurij Anatolijovyč 1944- Verfasser (DE-588)1089201230 aut Finite Dimensional Algebras by Yurij A. Drozd, Vladimir V. Kirichenko Berlin, Heidelberg Springer Berlin Heidelberg 1994 1 Online-Ressource (XIII, 249p) txt rdacontent c rdamedia cr rdacarrier This English edition has an additional chapter "Elements of Homological Al gebra". Homological methods appear to be effective in many problems in the theory of algebras; we hope their inclusion makes this book more complete and self-contained as a textbook. We have also taken this occasion to correct several inaccuracies and errors in the original Russian edition. We should like to express our gratitude to V. Dlab who has not only metic ulously translated the text, but has also contributed by writing an Appendix devoted to a new important class of algebras, viz. quasi-hereditary algebras. Finally, we are indebted to the publishers, Springer-Verlag, for enabling this book to reach such a wide audience in the world of mathematical community. Kiev, February 1993 Yu.A. Drozd V.V. Kirichenko Preface The theory of finite dimensional algebras is one of the oldest branches of modern algebra. Its origin is linked to the work of Hamilton who discovered the famous algebra of quaternions, and Cayley who developed matrix theory. Later finite dimensional algebras were studied by a large number of mathematicians including B. Peirce, C.S. Peirce, Clifford, ·Weierstrass, Dedekind, Jordan and Frobenius. At the end of the last century T. Molien and E. Cartan described the semisimple algebras over the complex and real fields and paved the first steps towards the study of non-semi simple algebras Mathematics K-theory K-Theory Mathematik Dimension n (DE-588)4309313-9 gnd rswk-swf Homologische Algebra (DE-588)4160598-6 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Algebra (DE-588)4001156-2 s Dimension n (DE-588)4309313-9 s 1\p DE-604 Homologische Algebra (DE-588)4160598-6 s 2\p DE-604 Kyryčenko, V. V. 1942-2019 Sonstige (DE-588)113940432 oth https://doi.org/10.1007/978-3-642-76244-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Drozd, Jurij Anatolijovyč 1944- Finite Dimensional Algebras Mathematics K-theory K-Theory Mathematik Dimension n (DE-588)4309313-9 gnd Homologische Algebra (DE-588)4160598-6 gnd Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4309313-9 (DE-588)4160598-6 (DE-588)4001156-2 |
| title | Finite Dimensional Algebras |
| title_auth | Finite Dimensional Algebras |
| title_exact_search | Finite Dimensional Algebras |
| title_full | Finite Dimensional Algebras by Yurij A. Drozd, Vladimir V. Kirichenko |
| title_fullStr | Finite Dimensional Algebras by Yurij A. Drozd, Vladimir V. Kirichenko |
| title_full_unstemmed | Finite Dimensional Algebras by Yurij A. Drozd, Vladimir V. Kirichenko |
| title_short | Finite Dimensional Algebras |
| title_sort | finite dimensional algebras |
| topic | Mathematics K-theory K-Theory Mathematik Dimension n (DE-588)4309313-9 gnd Homologische Algebra (DE-588)4160598-6 gnd Algebra (DE-588)4001156-2 gnd |
| topic_facet | Mathematics K-theory K-Theory Mathematik Dimension n Homologische Algebra Algebra |
| url | https://doi.org/10.1007/978-3-642-76244-4 |
| work_keys_str_mv | AT drozdjurijanatolijovyc finitedimensionalalgebras AT kyrycenkovv finitedimensionalalgebras |