TY - BOOK AU - Rotman,Joseph J TI - Advanced modern algebra T2 - Graduate studies in mathematics SN - 978-1-4704-1554-9 PY - 2015/// CY - Providence, Rhode Island PB - American Mathematical Society KW - Algebra KW - sears KW - Algebraic geometry KW - Instructional exposition (textbooks, tutorial papers, etc.) KW - Associative rings and algebras KW - Category theory; homological algebra KW - Commutative algebra KW - Field theory and polynomials KW - Group theory and generalizations KW - Linear and multilinear algebra; matrix theory N1 - Part 1. Classical formulas -- Classical number theory -- Commutative rings -- Groups -- Galois theory -- Appendix: Set theory -- Appendix: Linear Algebra -- Modules -- Zorn's lemma -- Advanced linear algebra -- Categories of modules -- Multilinear algebra -- Commutative algebra II -- Appendix: Categorical limits -- Appendix: Topological spaces N2 - 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 UR - https://drive.google.com/file/d/15eLOR2QMa8uiTc0MK3wKdqTpfbRXrbyu/view?usp=sharing ER -