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The function f ,defined by f(x) = (x-1)/(3-x) , has the same set as domain and as
range.
State the given statement is true or false, give reasons for your answer.
If (D,+,•) is an integral domain such that 1∈D , then D is a field.
State the given statement is true or false, give reasons for your answer.
Not every polynomial that is irreducible over Q[x] is irreducible over Z[x] .
State the given statement is true or false, give reasons for your answer.
If ( R ,*1,*2) is a ring, then ψ : R × R → R :ψ(r1,r2) = r1 *2 r1 is a binary operation.
State the given statement is true or false, give reasons for your answer.
Every subring of a non-commutative ring is non-commutative.
State the given statement is true or false, give reasons for your answer.
The characteristic of a field containing (50−1)elements is 50.
State the given statement is true or false, give reasons for your answer.
{α1 ,α2 , ….,αn} is a set only if all the αis
follow a given rule.
State the given statement is true or false, give reasons for your answer.
If G = < x > is of order 25, then x^a generates G , where α is a factor of 25.
State the given statement is true or false, give reasons for your answer.
If G is a group such that o(G) = 2m , where m∈N , then G has a subgroup of order m.
State the given statement is true or false, give reasons for your answer.
If σ is an even permutation, then σ² = I .
State the given statement is true or false, give reasons for your answer.
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