Exercises in Abelian Group Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2003
|
| Schriftenreihe: | Springer Texts in the Mathematical Sciences
25 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book, in some sense, began to be written by the first author in 1983, when optional lectures on Abelian groups were held at the Fac ulty of Mathematics and Computer Science,'Babes-Bolyai' University in Cluj-Napoca, Romania. From 1992,these lectures were extended to a twosemester electivecourse on abelian groups for undergraduate stu dents, followed by a twosemester course on the same topic for graduate students in Algebra. All the other authors attended these two years of lectures and are now Assistants to the Chair of Algebra of this Fac ulty. The first draft of this collection, including only exercises solved by students as home works, the last ten years, had 160pages. We felt that there is a need for a book such as this one, because it would provide a nice bridge between introductory Abelian Group Theory and more advanced research problems. The book InfiniteAbelianGroups, published by LaszloFuchsin two volumes 1970 and 1973 willwithout doubt last as the most important guide for abelian group theorists. Many exercises are selected from this source but there are plenty of other bibliographical items (see the Bibliography) which were used in order to make up this collection. For some of the problems stated, recent developments are also given. Nevertheless, there are plenty of elementary results (the so called 'folklore') in Abelian Group Theory whichdo not appear in any written material. It is also one purpose of this book to complete this gap |
| Beschreibung: | 1 Online-Ressource (XII, 351 p) |
| ISBN: | 9789401703390 9789048162499 |
| ISSN: | 0927-4529 |
| DOI: | 10.1007/978-94-017-0339-0 |
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| 500 | |a This book, in some sense, began to be written by the first author in 1983, when optional lectures on Abelian groups were held at the Fac ulty of Mathematics and Computer Science,'Babes-Bolyai' University in Cluj-Napoca, Romania. From 1992,these lectures were extended to a twosemester electivecourse on abelian groups for undergraduate stu dents, followed by a twosemester course on the same topic for graduate students in Algebra. All the other authors attended these two years of lectures and are now Assistants to the Chair of Algebra of this Fac ulty. The first draft of this collection, including only exercises solved by students as home works, the last ten years, had 160pages. We felt that there is a need for a book such as this one, because it would provide a nice bridge between introductory Abelian Group Theory and more advanced research problems. The book InfiniteAbelianGroups, published by LaszloFuchsin two volumes 1970 and 1973 willwithout doubt last as the most important guide for abelian group theorists. Many exercises are selected from this source but there are plenty of other bibliographical items (see the Bibliography) which were used in order to make up this collection. For some of the problems stated, recent developments are also given. Nevertheless, there are plenty of elementary results (the so called 'folklore') in Abelian Group Theory whichdo not appear in any written material. It is also one purpose of this book to complete this gap | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Algebra | |
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Topological Groups | |
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| 650 | 4 | |a Topological Groups, Lie Groups | |
| 650 | 4 | |a Category Theory, Homological Algebra | |
| 650 | 4 | |a Order, Lattices, Ordered Algebraic Structures | |
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Datensatz im Suchindex
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| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-017-0339-0 |
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| isbn | 9789401703390 9789048162499 |
| issn | 0927-4529 |
| language | English |
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| spelling | Călugăreanu, Grigore Verfasser aut Exercises in Abelian Group Theory by Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan Dordrecht Springer Netherlands 2003 1 Online-Ressource (XII, 351 p) txt rdacontent c rdamedia cr rdacarrier Springer Texts in the Mathematical Sciences 25 0927-4529 This book, in some sense, began to be written by the first author in 1983, when optional lectures on Abelian groups were held at the Fac ulty of Mathematics and Computer Science,'Babes-Bolyai' University in Cluj-Napoca, Romania. From 1992,these lectures were extended to a twosemester electivecourse on abelian groups for undergraduate stu dents, followed by a twosemester course on the same topic for graduate students in Algebra. All the other authors attended these two years of lectures and are now Assistants to the Chair of Algebra of this Fac ulty. The first draft of this collection, including only exercises solved by students as home works, the last ten years, had 160pages. We felt that there is a need for a book such as this one, because it would provide a nice bridge between introductory Abelian Group Theory and more advanced research problems. The book InfiniteAbelianGroups, published by LaszloFuchsin two volumes 1970 and 1973 willwithout doubt last as the most important guide for abelian group theorists. Many exercises are selected from this source but there are plenty of other bibliographical items (see the Bibliography) which were used in order to make up this collection. For some of the problems stated, recent developments are also given. Nevertheless, there are plenty of elementary results (the so called 'folklore') in Abelian Group Theory whichdo not appear in any written material. It is also one purpose of this book to complete this gap Mathematics Algebra Group theory Topological Groups Group Theory and Generalizations Topological Groups, Lie Groups Category Theory, Homological Algebra Order, Lattices, Ordered Algebraic Structures Mathematik Abelsche Gruppe (DE-588)4140988-7 gnd rswk-swf Abelsche Gruppe (DE-588)4140988-7 s 1\p DE-604 Breaz, Simion Sonstige oth Modoi, Ciprian Sonstige oth Pelea, Cosmin Sonstige oth Vălcan, Dumitru Sonstige oth https://doi.org/10.1007/978-94-017-0339-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Călugăreanu, Grigore Exercises in Abelian Group Theory Mathematics Algebra Group theory Topological Groups Group Theory and Generalizations Topological Groups, Lie Groups Category Theory, Homological Algebra Order, Lattices, Ordered Algebraic Structures Mathematik Abelsche Gruppe (DE-588)4140988-7 gnd |
| subject_GND | (DE-588)4140988-7 |
| title | Exercises in Abelian Group Theory |
| title_auth | Exercises in Abelian Group Theory |
| title_exact_search | Exercises in Abelian Group Theory |
| title_full | Exercises in Abelian Group Theory by Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan |
| title_fullStr | Exercises in Abelian Group Theory by Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan |
| title_full_unstemmed | Exercises in Abelian Group Theory by Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan |
| title_short | Exercises in Abelian Group Theory |
| title_sort | exercises in abelian group theory |
| topic | Mathematics Algebra Group theory Topological Groups Group Theory and Generalizations Topological Groups, Lie Groups Category Theory, Homological Algebra Order, Lattices, Ordered Algebraic Structures Mathematik Abelsche Gruppe (DE-588)4140988-7 gnd |
| topic_facet | Mathematics Algebra Group theory Topological Groups Group Theory and Generalizations Topological Groups, Lie Groups Category Theory, Homological Algebra Order, Lattices, Ordered Algebraic Structures Mathematik Abelsche Gruppe |
| url | https://doi.org/10.1007/978-94-017-0339-0 |
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