mpotents in Z are {0, 1} elements of Z are non-zero divisors. in Q al Domain sian Integers Z[i] and Z[√√-3] Then One of the following is False : rs 5 & 7& 13 are irreducible elements in Z[√-3] 13 are reducible elements in Z[√-3] and 5 is reducible in Z[i] per 5 is an irreducible element Z[√√-3] but 5 is reducible in Z[i]. 13 are reducible elements in Z[i] . following is True : infinite integral Domain is a field. 3 is a non-zero divisor in M2x2 e is c#0 in Zs such that Zs[x]/x 2 +3 x +2c is a field. 4-0 has no solution in Z7 -10 in Z[x] II) 2x-10in Qx] III) 2x-10 in Z₁₂[x] One of the following is TRUE : II are irreducibles II are irreducibles III are irreducibles
mpotents in Z are {0, 1} elements of Z are non-zero divisors. in Q al Domain sian Integers Z[i] and Z[√√-3] Then One of the following is False : rs 5 & 7& 13 are irreducible elements in Z[√-3] 13 are reducible elements in Z[√-3] and 5 is reducible in Z[i] per 5 is an irreducible element Z[√√-3] but 5 is reducible in Z[i]. 13 are reducible elements in Z[i] . following is True : infinite integral Domain is a field. 3 is a non-zero divisor in M2x2 e is c#0 in Zs such that Zs[x]/x 2 +3 x +2c is a field. 4-0 has no solution in Z7 -10 in Z[x] II) 2x-10in Qx] III) 2x-10 in Z₁₂[x] One of the following is TRUE : II are irreducibles II are irreducibles III are irreducibles
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.4: Maximal Ideals (optional)
Problem 5E
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