Algebra I

This is the softcover reprint of the English translation of 1974 (available from Springer since 1989) of the first 3 chapters of Bourbaki's 'Alg��bre'. It gives a thorough exposition of the fundamentals of general linear and multilinear algebra. The first chapter introduces the basic objects: groups actions rings fields. The second chapter studies the properties of modules and linear maps especially with respect to the tensor product and duality constructions. The third chapter investigates algebras in particular tensor algebras. Determinants norms traces and derivations are also studied.