Basic Modern Algebra with Applications

The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a way that it encourages independent thinking and motivates students towards...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Adhikari, Mahima Ranjan (Author), Adhikari, Avishek (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New Delhi : Springer India : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Subjects:
Algebra.
Commutative algebra.
Commutative rings.
Group theory.
Number theory.
Algebra, Homological.
Mathematics.
Commutative Rings and Algebras.
Group Theory and Generalizations.
Number Theory.
Category Theory, Homological Algebra.
Applications of Mathematics.
Online Access:Texto Completo
Table of Contents:
  • Prerequisites: Basics of Set Theory and Integers
  • Groups: Introductory Concepts
  • Actions of Groups, Topological Groups and semigroups
  • Rings: Introductory Concepts
  • Ideals of Rings: Introductory concepts
  • Factorization in Integral Domains and in Polynomial Rings
  • Rings with Chain Conditions
  • Vector Spaces
  • Modules
  • Algebraic Aspects of Number Theory
  • Algebraic Numbers
  • Introduction to Mathematical Cryptography
  • Appendix A: Some Aspects of Semirings
  • Appendix B: Category Theory
  • Appendix C: A Brief Historical Note. .

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