The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation. This book describes the theory of rings in which both maximal and minimal conditions hold for ideals.
A classic text and standard reference for a generation, this volume covers all undergraduate algebra topics, including groups, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. 1985 edition.
Definitive treatment covers split semi-simple Lie algebras, universal enveloping algebras, classification of irreducible modules, automorphisms, simple Lie algebras over an arbitrary field, and more. Classic handbook for researchers and students; useable in graduate courses or for self-study.
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