Exercises in Basic Ring Theory

This text contains almost 350 exercises in basic ring theory, with the solutions given in as much detail as possible. 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. 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.