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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Adhikari, Mahima Ranjan (Autor), Adhikari, Avishek (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Delhi : Springer India : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Temas:
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.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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