Department of Mathematicscoretheory
ALGEBRAIC STRUCTURES
MAT 2235
Syllabus
- 01Symmetries of the plane. Groups. The symmetric group Sn
- 02Homomorphisms of groups. Cyclic Groups, Subgroups. Lagrange's theorem. Conjugacy. Normal subgroups, Quotient groups
- 03Homomorphism theorems. Permutation groups, Group actions
- 04Semigroups: Basic theory and properties
- 05Rings: Rings. Subrings. Ideals. Polynomials. Integral domains and fields. Roots of polynomials. Symmetric polynomials. Factorization in integral domains. Field extensions and Geometric Constructions
References
- Michael Artin: Algebra, Second Edition, Pearson Prentice-Hall of India, New Delhi, 2011
- David S. Dummit and Richard M. Foote: Abstract Algebra, Third Edition, Wiley, 2005
- Joseph A. Gallian: Contemporary Abstract Algebra, Eighth Edition, BROOKS/COLE Cengage Learning, 2013
- Topics in Algebra, I.N. Herstein, Wiley, 1975
- Thomas W. Judson, Abstract Algebra - Theory and Applications, 1994
Credits Structure
2Lecture
1Tutorial
0Practical
3Total