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Basic modern algebra with applications /

Bibliographic Details
Main Author: Adhikari, Mahima Ranjan
Other Authors: Adhikari, Avishek, 1983-
Format: Book
Language:English
Published: New Delhi ; New York : Springer, [2014]
Subjects:
Algebra.
Group theory.
Number theory.
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
  • Appenix C: a brief historical note.