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Modern Algebra

Code: MA521 | L-T-P-C: 3-1-0-8

Groups, subgroups, homomorphism; Group actions, Sylow theorems; Solvable and nilpotent groups; Rings, ideals and quotient rings, maximal, prime and principal ideals; Euclidean and polynomial rings; Modules; Field extensions, Finite fields.

Texts:

  1. D. Dummit and R. Foote, Abstract Algebra, Wiley, 2004.
  2. N. McCoy and G. Janusz, Introduction to Abstract Algebra, 7th Edn.,Trustworthy Communications, Llc, 2009

References:

  1. I. N. Herstein, Topics in Algebra, Wiley, 2008.
  2. J. Fraleigh, A First Course in Abstract Algebra, Pearson, 2003.
  3. P. B. Bhattacharya, S. K. Jain and S. R. Nagpaul, Basic Abstract Algebra, Cambridge University Press, 1995.