Advanced Modern Algebra

Download or read book Advanced Modern Algebra written by Joseph J. Rotman and published by American Mathematical Soc.. This book was released on 2015-11-30 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition, now in two parts, has been significantly reorganized and many sections have been rewritten. This first part, designed for a first year of graduate algebra, consists of two courses: Galois theory and Module theory. Topics covered in the first course are classical formulas for solutions of cubic and quartic equations, classical number theory, commutative algebra, groups, and Galois theory. Topics in the second course are Zorn's lemma, canonical forms, inner product spaces, categories and limits, tensor products, projective, injective, and flat modules, multilinear algebra, affine varieties, and Gröbner bases.