(1) A field is a system of numbers that obeys the addition and multplication pos

Question

(1) A field is a system of numbers that obeys the addition and multplication postulates discussed in lecture and given at the beginning of Section 1.3 of the text. The number "1 is called the multiplicative identity because 1 a a for every number a. The following Proposition claims that no other number can have this property. Complete the following argumen Proposition. Every field has just one multiplicative identity Proof. Let F be a field. Suppose that p E F has the property that for all q E F we have p, q =q. It follows that p Supply the missing step(s) in this argument.

Explanation / Answer

Let 1 be the multiplicative identity and p with given property. The we get that 1=1.p=p.1=p. Therefore, p=1.

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.