Exercises in Basic Ring Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1998
|
| Schriftenreihe: | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series
20 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory". This seems to be the part each student or beginner in ring theory (or even algebra) should know - but surely trying to solve as many of these exercises as possible independently. As difficult (or impossible) as this may seem, we have made every effort to avoid modules, lattices and field extensions in this collection and to remain in the ring area as much as possible. A brief look at the bibliography obviously shows that we don't claim much originality (one could name this the folklore of ring theory) for the statements of the exercises we have chosen (but this was a difficult task: indeed, the 28 titles contain approximatively 15.000 problems and our collection contains only 346). The real value of our book is the part which contains all the solutions of these exercises. We have tried to draw up these solutions as detailed as possible, so that each beginner can progress without skilled help. The book is divided in two parts each consisting of seventeen chapters, the first part containing the exercises and the second part the solutions |
| Beschreibung: | 1 Online-Ressource (XIV, 200 p) |
| ISBN: | 9789401590044 9789048149858 |
| ISSN: | 0927-4529 |
| DOI: | 10.1007/978-94-015-9004-4 |
Internformat
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| 500 | |a Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory". This seems to be the part each student or beginner in ring theory (or even algebra) should know - but surely trying to solve as many of these exercises as possible independently. As difficult (or impossible) as this may seem, we have made every effort to avoid modules, lattices and field extensions in this collection and to remain in the ring area as much as possible. A brief look at the bibliography obviously shows that we don't claim much originality (one could name this the folklore of ring theory) for the statements of the exercises we have chosen (but this was a difficult task: indeed, the 28 titles contain approximatively 15.000 problems and our collection contains only 346). The real value of our book is the part which contains all the solutions of these exercises. We have tried to draw up these solutions as detailed as possible, so that each beginner can progress without skilled help. The book is divided in two parts each consisting of seventeen chapters, the first part containing the exercises and the second part the solutions | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Algebra | |
| 650 | 4 | |a Field theory (Physics) | |
| 650 | 4 | |a Topology | |
| 650 | 4 | |a Associative Rings and Algebras | |
| 650 | 4 | |a Commutative Rings and Algebras | |
| 650 | 4 | |a Field Theory and Polynomials | |
| 650 | 4 | |a Order, Lattices, Ordered Algebraic Structures | |
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Datensatz im Suchindex
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| author | Cǎlugǎreanu, Grigore |
| author_facet | Cǎlugǎreanu, Grigore |
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| author_sort | Cǎlugǎreanu, Grigore |
| author_variant | g c gc |
| building | Verbundindex |
| bvnumber | BV042424110 |
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| ctrlnum | (OCoLC)879624639 (DE-599)BVBBV042424110 |
| dewey-full | 512.46 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.46 |
| dewey-search | 512.46 |
| dewey-sort | 3512.46 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-015-9004-4 |
| format | Electronic eBook |
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| isbn | 9789401590044 9789048149858 |
| issn | 0927-4529 |
| language | English |
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| spelling | Cǎlugǎreanu, Grigore Verfasser aut Exercises in Basic Ring Theory by Grigore Cǎlugǎreanu, Peter Hamburg Dordrecht Springer Netherlands 1998 1 Online-Ressource (XIV, 200 p) txt rdacontent c rdamedia cr rdacarrier Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series 20 0927-4529 Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory". This seems to be the part each student or beginner in ring theory (or even algebra) should know - but surely trying to solve as many of these exercises as possible independently. As difficult (or impossible) as this may seem, we have made every effort to avoid modules, lattices and field extensions in this collection and to remain in the ring area as much as possible. A brief look at the bibliography obviously shows that we don't claim much originality (one could name this the folklore of ring theory) for the statements of the exercises we have chosen (but this was a difficult task: indeed, the 28 titles contain approximatively 15.000 problems and our collection contains only 346). The real value of our book is the part which contains all the solutions of these exercises. We have tried to draw up these solutions as detailed as possible, so that each beginner can progress without skilled help. The book is divided in two parts each consisting of seventeen chapters, the first part containing the exercises and the second part the solutions Mathematics Algebra Field theory (Physics) Topology Associative Rings and Algebras Commutative Rings and Algebras Field Theory and Polynomials Order, Lattices, Ordered Algebraic Structures Mathematik Ringtheorie (DE-588)4126571-3 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Ringtheorie (DE-588)4126571-3 s 2\p DE-604 Hamburg, Peter Sonstige oth https://doi.org/10.1007/978-94-015-9004-4 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 | Cǎlugǎreanu, Grigore Exercises in Basic Ring Theory Mathematics Algebra Field theory (Physics) Topology Associative Rings and Algebras Commutative Rings and Algebras Field Theory and Polynomials Order, Lattices, Ordered Algebraic Structures Mathematik Ringtheorie (DE-588)4126571-3 gnd |
| subject_GND | (DE-588)4126571-3 (DE-588)4143389-0 |
| title | Exercises in Basic Ring Theory |
| title_auth | Exercises in Basic Ring Theory |
| title_exact_search | Exercises in Basic Ring Theory |
| title_full | Exercises in Basic Ring Theory by Grigore Cǎlugǎreanu, Peter Hamburg |
| title_fullStr | Exercises in Basic Ring Theory by Grigore Cǎlugǎreanu, Peter Hamburg |
| title_full_unstemmed | Exercises in Basic Ring Theory by Grigore Cǎlugǎreanu, Peter Hamburg |
| title_short | Exercises in Basic Ring Theory |
| title_sort | exercises in basic ring theory |
| topic | Mathematics Algebra Field theory (Physics) Topology Associative Rings and Algebras Commutative Rings and Algebras Field Theory and Polynomials Order, Lattices, Ordered Algebraic Structures Mathematik Ringtheorie (DE-588)4126571-3 gnd |
| topic_facet | Mathematics Algebra Field theory (Physics) Topology Associative Rings and Algebras Commutative Rings and Algebras Field Theory and Polynomials Order, Lattices, Ordered Algebraic Structures Mathematik Ringtheorie Aufgabensammlung |
| url | https://doi.org/10.1007/978-94-015-9004-4 |
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