Rotman, Joseph J, <br/><br/>
Advanced modern algebra /  [electronic resource] 
Joseph J. Rotman. 
 - 3rd ed. Part 1. 
 - Providence, Rhode Island :  American Mathematical Society,  2015. 
 - 1 online resource. 
 - Graduate studies in mathematics  165 .
<br/><br/>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. 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>978-1-4704-1554-9 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Algebra.<br/>Algebraic geometry--Instructional exposition (textbooks, tutorial papers, etc.)<br/>Associative rings and algebras--Instructional exposition (textbooks, tutorial papers, etc.)<br/>Category theory; homological algebra--Instructional exposition (textbooks, tutorial papers, etc.)<br/>Commutative algebra--Instructional exposition (textbooks, tutorial papers, etc.)<br/>Field theory and polynomials--Instructional exposition (textbooks, tutorial papers, etc.)<br/>Group theory and generalizations--Instructional exposition (textbooks, tutorial papers, etc.)<br/>Linear and multilinear algebra; matrix theory--Instructional exposition (textbooks, tutorial papers, etc.)