Basic algebra / Nathan Jacobson.

Includes bibliographical references and index.

Basic algebra I. Introduction: concepts from set theory. The integers -- Monoids and groups -- Rings -- Modules over a principal ideal domain -- Galois theory of equations -- Real polynomial equations and inequalities -- Metric vector spaces and the classical groups -- Algebras over a field -- Lattices and boolean algebras -- Basic algebra II. Categories -- Universal algebra -- Modules -- Basic structure theory of rings -- Classical representation theory of finite groups -- Elements of homological algebra with applications -- Commutative ideal theory: general theory and Neotherian rings -- Field theory -- Valuation theory -- Dedekind domains -- Formally real fields.