If there is a unique prime number p1 then a finite field F has the property of ______________(a) p1x = 0 for all x in F(b) f(x) = f(xp1) for all x in F(c) p1 = y for all y in F(d) xy + p1 for all x, y in FI have been asked this question during an interview for a job.This is a very interesting question from Number Theory topic in section Number Theory and Cryptography of Discrete Mathematics

If there is a unique prime number p1 then a finite field F has the pro

1.	If there is a unique prime number p1 then a finite field F has the property of ______________(a) p1x = 0 for all x in F(b) f(x) = f(xp1) for all x in F(c) p1 = y for all y in F(d) xy + p1 for all x, y in FI have been asked this question during an interview for a job.This is a very interesting question from Number Theory topic in section Number Theory and Cryptography of Discrete Mathematics
Answer» Correct answer is (a) p1x = 0 for all x in F To elaborate: A field can be DEFINED as an ALGEBRAIC structure in which multiplication, ADDITION, subtraction, and division are well-defined and satisfy similar PROPERTIES. If there is a unique PRIME number p1 then a finite field F has the property of p1x = 0, for all x in F and this prime number is called the characteristics of the field.

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