ALGEBRA - II

Rings, Euclidaen domains, PIDs, UFDs, Factorization in Polynomial rings, Prime and maximal ideals, Chinese remainder theorem.

Field Theory: Field extensions, Fundamental theorem of algebra, Normal and Separable extensions, Splitting fields, Galois extensions, Galois group of a polynomial. Fundamental theorem of Galois theory, Solvabality by radicals, Transcendence bases.  

Books


Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 31 May 2023