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Abstract Algebra (Pure and Applied Mathematics (Marcel Dekker)) by Gary D. Crown, Gary Crown, Maureen H. Fenrick, Robert J. Valenza is a nonfiction available to read on EtoBox.

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Title Preface Contents Chapter 1. Preliminaries 1.1. Set Operations and Functions 1.2. Partitions and Equivalence Relations 1.3. Binary Operations 1.4. The Integers Chapter 2. Groups 2.1. Groups and Subgroups 2.2. Homomorphisms 2.3. Lagrange's Theorem and the Quotient Set 2.4. Normal Subgroups and the Quotient Group Chapter 3. Group Actions and Solvable Groups 3.1. Group Actions 3.2. Solvable Groups Chapter 4. Rings 4.1. Rings and Subrings 4.2. Homomorphisms, Ideals, and Quotient Rings 4.3. Maximal Ideals and the Chinese Remainder Theorem 4.4. Prime Ideals, Integral Domains, and the Fraction Field Chapter 5. Factorization in Commutative Rings 5.1. Euclidean Rings and Principal Ideal Rings 5.2. Primes and Unique Factorization 5.3. Factorization and Noetherian Domains Chapter 6. Algebras 6.1. Algebras and Morphisms 6.2. Polynomials 6.3. Matrices and Determinants Chapter 7. Modules and Vector Spaces 7.1. Left R-modules 7.2. Direct Products and Direct Sums 7.3. Vector Spaces Chapter 8. Field Extensions 8.1. Finitely Generated Extensions 8.2. Algebraic Extensions 8.3. Splitting Fields, Normal Extensions, and Finite Fields Chapter 9. Galois Theory 9.1. The Fundamental Correspondence 9.2.

Who reads Abstract Algebra (Pure and Applied Mathematics (Marcel Dekker))?

Author

Gary D. Crown, Gary Crown, Maureen H. Fenrick, Robert J. Valenza

Publisher

Marcel Dekker Incorporated

Published

1986

Language

EN

ISBN

9780824774561

Category

nonfiction

Subjects

Mathematics, Stem