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Student solutions for Assignment #3

Solution Sample


Problem 50

Problem 94

Show $ f(x) = x^4 + 5x^2 + 3x + 2 $ is irreducible over the field of rational numbers.

Problem 101

(a) Show that x4 +x3 +x2 +x+1 is irreducible in Z3[x].

(b) Show that x4 + 1 is not irreducible in Z3[x].

Problem 107

Let $ R $ be a commutative ring with identity such that the identity map is the only ring automorphism of $ R $. Prove that the set $ N $ of all nilpotent elements of $ R $ is an ideal of $ R $


Back to 2013 Summer MA 598A Weigel

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang