Label each of the following seven sets by one of the five labels above. Label ea

Question

Label each of the following seven sets by one of the five labels above.

Label each of the following seven sets by one of five labels: C = closed under addition and multiplication, but not a ring; R = a ring, but without a multiplicative identity; RU = a ring with a multiplicative identity, but not an integral domain; D = an integral domain, but not a field; F = a field. The positive real numbers. The even integers. Z_18, the integers modulo 18. Z_19, the integers modulo 19. { 0,3,6 } subset of or equal to Z_9. { 0,3,6,9 } subset of or equal to Z_12. R[x], polynomials with coefficients in the real numbers.

Explanation / Answer

anwers ;

a--- D since no zero in the set

b--- R since multiplicatice identity not there in even intergers

c--- C

d--- F field

e , f ---- RU since no zero divisors in the set

g--- D

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

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