Exercises in Basic Ring Theory
By: by Grigore Cǎlugǎreanu, Peter Hamburg
Contributors: Hamburg, Peter
Series: Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series -- 20; Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series -- 20
Publisher: Springer Netherlands
Published: 1998
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 199
ISBN-13: 9789048149858; 9789401590044
Subjects: Mathematics; Algebra; Field theory (Physics); Topology
Description: This book contains almost 350 exercises in basic ring theory. The problems form the `folklore' of ring theory, and the solutions are given in as much detail as possible. This makes the work ideally suited for self-study. Subjects treated include zero divisors, ring homomorphisms, divisibility in integral domains, division rings, automorphisms, the tensor product, artinian and noetherian rings, socle and radical rings, semisimple rings, polynomial rings, rings of quotients, and rings of continuous functions. Audience: This volume is recommended for lecturers and graduate students involved in associative rings and algebras, commutative rings and algebras, algebraic number theory, field theory and polynomials, order, lattices, and general topology.
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