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T.Y. B.Sc. (Semester IV) Examination, 2013
MATHEMATICS (Paper IV)
MT-344 : Ring Theory
(2008 Pattern) (New Course)
Time : 2 Hours Max. Marks : 40
N.B. : 1) All questions are compulsory.
2) Figures to the right indicate full marks.
1. Attempt any five of the following : 10
a) Let a belong to a ring R. Let = Rx{S ax = }0 . Show that S is a subring
of R.
b) List all zero-divisors in 13.
c) Find all maximal ideals in 12.
d) Show that the function f :5 10 given by f(x) = 3x is not a homomorphism.
e) Find zeros of x2 + ....etc

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