#1
3rd December 2014, 11:43 AM
| |||
| |||
Annamalai University MSc Mathematics 1st Year Exam Question Paper
Will you please provide the Question Paper of Annamalai University MSc Mathematics 1st Year exam ?
|
#2
3rd December 2014, 12:26 PM
| |||
| |||
Re: Annamalai University MSc Mathematics 1st Year Exam Question Paper
Here is the list of few questions of Annamalai University MSc Mathematics 1st Year Exam Sample Question Paper which you are looking for . 1. Show that the relation a ≡ b mod H is an equivalance relation. 2. Let G be a group, H a subgroup of G, T an automorphism of G. Let (H)T = { hT/h ∈ H}. Prove that (H)T is subgroup of G. 4 (b) Show that K is a normal extension of F if and only if, K is the splitting field of some polynomial over F. 15. (a) Show that the linear transformation T on V is unitary if and only if, it takes an orthonormal basis of V into an orthonormal basis of V. (b) Show that for every prime p and every positive integer m, there is a unique field having pm elements. 2 3 3. Show that a fininte integral domain is a field. 4. Let R be a Euclidean ring and A be an ideal of R. Show that A = { a0 x / x ∈ R} where a0 ∈ A. 5. Show that if V is the internal direct sum of υ1, υ2,....... υn then V is isomorphic to the the external direct sum of υ1, υ2...... υn |