Exercises in classical ring theory. Problem books in mathematics
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This useful book, which grew out of the author''s lectures at Berkeley, presents some 400 exercises of varying degrees of difficulty in classical ring theory, together with complete solutions, background information, historical commentary, bibliographic details, and indications of possible improvements or generalizations. The book should be especially helpful to graduate students as a model of the problem-solving process and an illustration of the applications of different theorems in ring theory. The author also discusses "the folklore of the subject: the `tricks of the trade'' in ring theory, which are well known to the experts in the field but may not be familiar to others, and for which there is usually no good reference". The problems are from the following areas: the Wedderburn-Artin theory of semisimple rings, the Jacobson radical, representation theory of groups and algebras, (semi)prime rings, (semi)primitive rings, division rings, ordered rings, (semi)local rings, the theory of idempotents, and (semi)perfect rings. Problems in the areas of module theory, category theory, and rings of quotients are not included, since they will appear in a later book. T. W. Hungerford, Mathematical Reviews.

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This useful book, which grew out of the author's lectures at Berkeley, presents some 400 exercises of varying degrees of difficulty in classical ring theory, together with complete solutions, background information, historical commentary, bibliographic details, and indications of possible improvements or generalizations. The book should be especially helpful to graduate students as a model of the problem-solving process and an illustration of the applications of different theorems in ring theory... This useful book, which grew out of the author's lectures at Berkeley, presents some 400 exercises of varying degrees of difficulty in classical ring theory, together with complete solutions, background information, historical commentary, bibliographic details, and indications of possible improvements or generalizations. The book should be especially helpful to graduate students as a model of the problem-solving process and an illustration of the applications of different theorems in ring theory. The author also discusses the folklore of the subject: the 'tricks of the trade' in ring theory, which are well known to the experts in the field but may not be familiar to others, and for which there is usually no good reference . The problems are from the following areas: the Wedderburn-Artin theory of semisimple rings, the Jacobson radical, representation theory of groups and algebras, (semi)prime rings, (semi)primitive rings, division rings, ordered rings, (semi)local rings, the theory of idempotents, and (semi)perfect rings. Problems in the areas of module theory, category theory, and rings of quotients are not included, since they will appear in a later book. (T. W. Hungerford, Mathematical Reviews)Taal: Engels;Afmetingen: 22x234x156 mm;Gewicht: 713,00 gram;Verschijningsdatum: september 2003;ISBN10: 0387005005;ISBN13: 9780387005003; Engelstalig | Hardcover | 2003.

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Von Händler/Antiquariat, Petra Gros, [3076014].
287 S. gebundene Ausgabe Das hier angebotene Buch stammt aus einer teilaufgelösten wissenschaftlichen Bibliothek und trägt die entsprechenden Kennzeichnungen (Rückenschild, Instituts-Stempel...). Der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. Contents Preface vii Notes to the Reader xi Chapter 1 Wedderburn-Artin Theory 1 1. Basic terminology and examples 1 26 Exercises 2. Semisimplicity 16 8 Exercises 3. Structure of semisimple rings 20 25 Exercises Chapter 2 Jacobson Radical Theory 35 4. The Jacobson radical 35 28 Exercises 5. Jacobson radical under change of rings 52 10 Exercises 6. Group rings and the J-semisimplicity problem 57 17 Exercises Chapter 3 Introduction to Representation Theory 69 7. Modules over finite-dimensional algebras 69 10 Exercises 8. Representations of groups 74 27 Exercises 9. Linear groups 97 6 Exercisesxvi Contents Chapter 4 Prime and Primitive Rings 103 10. The prime radical prime and semiprime rings 103 29 Exercises 11. Structure of primitive rings the Density Theorem 119 23 Exercises 12. Subdirect products and commutativity theorems 136 22 Exercises Chapter 5 Introduction to Division Rings 151 13. Division rings 151 15 Exercises 14. Some classical constructions 159 19 Exercises 15. Tensor products and maximal subfields 176 6 Exercises 16. Polynomials over division rings 179 15 Exercises Chapter 6 Ordered Structures in Rings 191 17. Orderings and preorderings in rings 191 15 Exercises 18. Ordered division rings 202 7 Exercises Chapter 7 Local Rings, Semilocal Rings, and Idempotents 211 19. Local rings 211 16 Exercises 20. Semilocal rings 221 13 Exercises 21. The theory of idempotents 229 34 Exercises- 22. Central idempotents and block decompositions 250 9 Exercises Chapter 8 Perfect and Semiperfect Rings 257 23. Perfect and semiperfect rings 257 6 Exercises 24. Homological characterizations of perfect and semiperfect rings 265 10 Exercises 25. Principal indecomposables and basic rings 271 4 Exercises Name Index 277 Subject Index 281, 1995. gebraucht gut, 630g, Internationaler Versand, PayPal, offene Rechnung, Banküberweisung, offene Rechnung (Vorkasse vorbehalten).

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Von Händler/Antiquariat, Petra Gros, [3076014].
287 S. gebundene Ausgabe Das hier angebotene Buch stammt aus einer teilaufgelösten wissenschaftlichen Bibliothek und trägt die entsprechenden Kennzeichnungen (Rückenschild, Instituts-Stempel...). Der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. Contents Preface vii Notes to the Reader xi Chapter 1 Wedderburn-Artin Theory 1 1. Basic terminology and examples 1 26 Exercises 2. Semisimplicity 16 8 Exercises 3. Structure of semisimple rings 20 25 Exercises Chapter 2 Jacobson Radical Theory 35 4. The Jacobson radical 35 28 Exercises 5. Jacobson radical under change of rings 52 10 Exercises 6. Group rings and the J-semisimplicity problem 57 17 Exercises Chapter 3 Introduction to Representation Theory 69 7. Modules over finite-dimensional algebras 69 10 Exercises 8. Representations of groups 74 27 Exercises 9. Linear groups 97 6 Exercisesxvi Contents Chapter 4 Prime and Primitive Rings 103 10. The prime radical prime and semiprime rings 103 29 Exercises 11. Structure of primitive rings the Density Theorem 119 23 Exercises 12. Subdirect products and commutativity theorems 136 22 Exercises Chapter 5 Introduction to Division Rings 151 13. Division rings 151 15 Exercises 14. Some classical constructions 159 19 Exercises 15. Tensor products and maximal subfields 176 6 Exercises 16. Polynomials over division rings 179 15 Exercises Chapter 6 Ordered Structures in Rings 191 17. Orderings and preorderings in rings 191 15 Exercises 18. Ordered division rings 202 7 Exercises Chapter 7 Local Rings, Semilocal Rings, and Idempotents 211 19. Local rings 211 16 Exercises 20. Semilocal rings 221 13 Exercises 21. The theory of idempotents 229 34 Exercises- 22. Central idempotents and block decompositions 250 9 Exercises Chapter 8 Perfect and Semiperfect Rings 257 23. Perfect and semiperfect rings 257 6 Exercises 24. Homological characterizations of perfect and semiperfect rings 265 10 Exercises 25. Principal indecomposables and basic rings 271 4 Exercises Name Index 277 Subject Index 281, 1995. gebraucht gut, 630g, Internationaler Versand, PayPal, offene Rechnung, Banküberweisung, offene Rechnung (Vorkasse vorbehalten).

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Von Händler/Antiquariat, Petra Gros [1048006], Koblenz, Germany.
287 S. Das hier angebotene Buch stammt aus einer teilaufgelösten wissenschaftlichen Bibliothek und trägt die entsprechenden Kennzeichnungen (Rückenschild, Instituts-Stempel.). Der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. Contents Preface vii Notes to the Reader xi Chapter 1 Wedderburn-Artin Theory 1 §1. Basic terminology and examples 1 26 Exercises §2. Semisimplicity 16 8 Exercises §3. Structure of semisimple rings 20 25 Exercises Chapter 2 Jacobson Radical Theory 35 §4. The Jacobson radical 35 28 Exercises §5. Jacobson radical under change of rings 52 10 Exercises §6. Group rings and the J-semisimplicity problem 57 17 Exercises Chapter 3 Introduction to Representation Theory 69 §7. Modules over finite-dimensional algebras 69 10 Exercises §8. Representations of groups 74 27 Exercises §9. Linear groups 97 6 Exercisesxvi Contents Chapter 4 Prime and Primitive Rings 103 §10. The prime radical; prime and semiprime rings 103 29 Exercises §11. Structure of primitive rings; the Density Theorem 119 23 Exercises §12. Subdirect products and commutativity theorems 136 22 Exercises Chapter 5 Introduction to Division Rings 151 §13. Division rings 151 15 Exercises §14. Some classical constructions 159 19 Exercises §15. Tensor products and maximal subfields 176 6 Exercises §16. Polynomials over division rings 179 15 Exercises Chapter 6 Ordered Structures in Rings 191 §17. Orderings and preorderings in rings 191 15 Exercises §18. Ordered division rings 202 7 Exercises Chapter 7 Local Rings, Semilocal Rings, and Idempotents 211 §19. Local rings 211 16 Exercises §20. Semilocal rings 221 13 Exercises §21. The theory of idempotents 229 34 Exercises- §22. Central idempotents and block decompositions 250 9 Exercises Chapter 8 Perfect and Semiperfect Rings 257 §23. Perfect and semiperfect rings 257 6 Exercises §24. Homological characterizations of perfect and semiperfect rings 265 10 Exercises §25. Principal indecomposables and basic rings 271 4 Exercises Name Index 277 Subject Index 281 Sprache: Englisch Gewicht in Gramm: 630.

Von Händler/Antiquariat, Petra Gros [1048006], Koblenz, Germany.
287 S. Das hier angebotene Buch stammt aus einer teilaufgelösten wissenschaftlichen Bibliothek und trägt die entsprechenden Kennzeichnungen (Rückenschild, Instituts-Stempel.). Der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. Contents Preface vii Notes to the Reader xi Chapter 1 Wedderburn-Artin Theory 1 §1. Basic terminology and examples 1 26 Exercises §2. Semisimplicity 16 8 Exercises §3. Structure of semisimple rings 20 25 Exercises Chapter 2 Jacobson Radical Theory 35 §4. The Jacobson radical 35 28 Exercises §5. Jacobson radical under change of rings 52 10 Exercises §6. Group rings and the J-semisimplicity problem 57 17 Exercises Chapter 3 Introduction to Representation Theory 69 §7. Modules over finite-dimensional algebras 69 10 Exercises §8. Representations of groups 74 27 Exercises §9. Linear groups 97 6 Exercisesxvi Contents Chapter 4 Prime and Primitive Rings 103 §10. The prime radical; prime and semiprime rings 103 29 Exercises §11. Structure of primitive rings; the Density Theorem 119 23 Exercises §12. Subdirect products and commutativity theorems 136 22 Exercises Chapter 5 Introduction to Division Rings 151 §13. Division rings 151 15 Exercises §14. Some classical constructions 159 19 Exercises §15. Tensor products and maximal subfields 176 6 Exercises §16. Polynomials over division rings 179 15 Exercises Chapter 6 Ordered Structures in Rings 191 §17. Orderings and preorderings in rings 191 15 Exercises §18. Ordered division rings 202 7 Exercises Chapter 7 Local Rings, Semilocal Rings, and Idempotents 211 §19. Local rings 211 16 Exercises §20. Semilocal rings 221 13 Exercises §21. The theory of idempotents 229 34 Exercises- §22. Central idempotents and block decompositions 250 9 Exercises Chapter 8 Perfect and Semiperfect Rings 257 §23. Perfect and semiperfect rings 257 6 Exercises §24. Homological characterizations of perfect and semiperfect rings 265 10 Exercises §25. Principal indecomposables and basic rings 271 4 Exercises Name Index 277 Subject Index 281 Sprache: Englisch Gewicht in Gramm: 630, Books.

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Von Händler/Antiquariat, Ergodebooks.
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Von Händler/Antiquariat, Cold Books.
Springer . hardcover. New. pp. xix + 359 2nd Edition.