Author | Lam, T. Y. author |
---|---|

Title | Exercises in Classical Ring Theory [electronic resource] / by T. Y. Lam |

Imprint | New York, NY : Springer New York : Imprint: Springer, 1995 |

Connect to | http://dx.doi.org/10.1007/978-1-4757-3987-9 |

Descript | XVI, 288 p. online resource |

SUMMARY

Based in large part on the comprehensive "First Course in Ring Theory" by the same author, this book provides a comprehensive set of problems and solutions in ring theory that will serve not only as a teaching aid to instructors using that book, but also for students, who will see how ring theory theorems are applied to solving ring-theoretic problems and how good proofs are written. The author demonstrates that problem-solving is a lively process: in "Comments" following many solutions he discusses what happens if a hypothesis is removed, whether the exercise can be further generalized, what would be a concrete example for the exercise, and so forth. The book is thus much more than a solution manual

CONTENT

1 Wedderburn-Artin Theory -- 2 Jacobson Radical Theory -- 3 Introduction to Representation Theory -- 4 Prime and Primitive Rings -- 5 Introduction to Division Rings -- 6 Ordered Structures in Rings -- 7 Local Rings, Semilocal Rings, and Idempotents -- 8 Perfect and Semiperfect Rings -- Name Index

Mathematics
Algebra
Mathematics
Algebra