Advanced modern algebra /
Rotman, Joseph J,
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 .
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.
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.
978-1-4704-1554-9
Algebra.
Algebraic geometry--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.)
Commutative algebra--Instructional exposition (textbooks, tutorial papers, etc.)
Field theory and polynomials--Instructional exposition (textbooks, tutorial papers, etc.)
Group theory and generalizations--Instructional exposition (textbooks, tutorial papers, etc.)
Linear and multilinear algebra; matrix theory--Instructional exposition (textbooks, tutorial papers, etc.)
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 .
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.
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.
978-1-4704-1554-9
Algebra.
Algebraic geometry--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.)
Commutative algebra--Instructional exposition (textbooks, tutorial papers, etc.)
Field theory and polynomials--Instructional exposition (textbooks, tutorial papers, etc.)
Group theory and generalizations--Instructional exposition (textbooks, tutorial papers, etc.)
Linear and multilinear algebra; matrix theory--Instructional exposition (textbooks, tutorial papers, etc.)