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  ABSTRACT ALGEBRA, 2ND ED
 

Abstract Algebra, 2Nd Ed

by David S. Dummit, Richard M. Foote

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  Table of contents : Part I: Group Theory · Introduction to Groups · Subgroups · Quotient Groups and Homomorphisms · Group Actions · Direct and Semidirect Products and Abelian Groups · Further Topics in Group Theory Part II: Ring Theory · Introduction to Rings · Euclidean Domains, Principal Ideal Domains and Unique Factorization Domains · Polynomial Rings Part III: Modules and Vector Spaces · Introduction... Moreto Module Theory · Vector Spaces · Modules over Principal Ideal Domains Part IV: Field Theory and Galois Theory · Field Theory · Galois Theory Part V: An Introduction to Commutative Rings, Algebraic Geometry, and Homological Algebra · Commutative Rings and Algebraic Geometry · Artinian Rings, Discrete Valuation Rings, and Dedekind Domains · Introduction to Homological Algebra and Group Cohomology Part VI: Introduction to the Representation Theory of Finite Groups · Representation Theory and Character Theory · Examples and Applications of Character Theory Appendices Index
ISBN : 9788126517763
 


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