Advanced modern algebra
 Responsibility
 Joseph J. Rotman.
 Edition
 Third edition.
 Publication
 Providence, Rhode Island : American Mathematical Society, [2015][2017]
 Physical description
 2 volumes : illustrations ; 27 cm.
 Series
 Graduate studies in mathematics ; v. 165, 180.
At the library
Science Library (Li and Ma)
Stacks
Library has: pt.12
Call number  Status 

QA154.3 .R68 2015 PT.1  Unknown 
QA154.3 .R68 2015 PT.2  Unknown 
More options
Description
Creators/Contributors
 Author/Creator
 Rotman, Joseph J., 1934
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 * Course I: Classical formulas* Classical number theory* Commutative rings* Groups* Galois theory* Appendix: Set theory* Appendix: Linear Algebra* Course II: Modules* Zorn's lemma* Advanced linear algebra* Categories of modules* Multilinear algebra* Commutative algebra II* Appendix: Categorical limits* Appendix: Topological spaces* Bibliography* Special notation* Index.
 (source: Nielsen Book Data)
 Summary

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 Grobner bases.
(source: Nielsen Book Data)
Subjects
 Subject
 Algebra.
 Algebra.
 Field theory and polynomials > Instructional exposition (textbooks, tutorial papers, etc.)
 Commutative algebra > Instructional exposition (textbooks, tutorial papers, etc.)
 Algebraic geometry > Instructional exposition (textbooks, tutorial papers, etc.)
 Linear and multilinear algebra; matrix theory > Instructional exposition (textbooks, tutorial papers, etc.)
 Associative rings and algebras > Instructional exposition (textbooks, tutorial papers, etc.)
 Category theory; homological algebra > Instructional exposition (textbooks, tutorial papers, etc.)
 Group theory and generalizations > Instructional exposition (textbooks, tutorial papers, etc.)
Bibliographic information
 Beginning date
 2015
 Ending date
 2017
 Series
 Graduate studies in mathematics ; volume 165, 180
 ISBN
 9781470415549 (alk. paper ; pt. 1)
 1470415542 (alk. paper ; pt. 1)
 9781470423117 (pt. 2)
 1470423111 (pt. 2)