TY - BOOK AU - Jacobson,Nathan TI - Basic algebra SN - 0716714809 AV - QA154.2 .J32 1985 PY - 1985///-] CY - New York PB - W.H. Freeman KW - Algebra N1 - 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 ER -