Abstract Algebra quiz
103 questions across 1 difficulty level. Every attempt draws a fresh random set, so you can play as often as you like.
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Hard
103 questions
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Sample questions
- The polynomial x^3 + 2x^2 + 2x + 1 can be factored into linear factors in Z_7[x]. Find this factorization.
- Statement 1 | A factor group of a non-Abelian group is non-Abelian. Statement 2 | If K is a normal subgroup of H and H is a normal subgroup of G, then K is a normal subgroup of G.
- Compute the product in the given ring. (20)(-8) in Z_26
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