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ADVANCED ABSTRACT ALGEBRA

ISBN :

Author : Bhupendra Singh

Ebook Price : Free

Pages : 567 Approx

Binding : Soft

Contents
  • PART I-PRELIMINARIES– Logics and Set Theory; Relations and Functions; Matrices and Rank; PART II-GROUPS– Groups; Normal Subgroups; Automorphism and Structure of Groups; Normal Series; Nilpotent and Solvable Groups; PART III-RING THEORY– Rings; Primary Decomposition of Ideals; Unique Factorization Domain and Euclidean Domains; Noetherian Ring; Rings of Fraction with Ore Condition; PART IV-VECTOR SPACE AND MODULES – Vector Spaces; Modules; PART V-LINEAR ALGEBRA – Linear Transformations; Linear Functionals; Eigenvalues and Eigenvectors, Diagonalization; Canonical Forms; PART VI-FIELD THEORY— Algebraic Extensions of a Field; Normal and Separable Extensions of Fields; Galois Theory; Application of Galois Theory; PART VII-ADDITIONAL TOPICS— Noetherian and Artinial Modules and Rings; Smith Normal form Over a P1D and Rank; Finitely Generated Modules Over a PID; Groups of Small Orders
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PART I-PRELIMINARIES– Logics and Set Theory; Relations and Functions; Matrices and Rank; PART II-GROUPS– Groups; Normal Subgroups; Automorphism and Structure of Groups; Normal Series; Nilpotent and Solvable Groups; PART III-RING THEORY– Rings; Primary Decomposition of Ideals; Unique Factorization Domain and Euclidean Domains; Noetherian Ring; Rings of Fraction with Ore Condition; PART IV-VECTOR SPACE AND MODULES – Vector Spaces; Modules; PART V-LINEAR ALGEBRA – Linear Transformations; Linear Functionals; Eigenvalues and Eigenvectors, Diagonalization; Canonical Forms; PART VI-FIELD THEORY— Algebraic Extensions of a Field; Normal and Separable Extensions of Fields; Galois Theory; Application of Galois Theory; PART VII-ADDITIONAL TOPICS— Noetherian and Artinial Modules and Rings; Smith Normal form Over a P1D and Rank; Finitely Generated Modules Over a PID; Groups of Small Orders

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