homework 4 solution - Math 323: Homework 4 1. Find the...

This preview shows page 1 - 2 out of 7 pages.

Math 323: Homework 41.Find the necessary and sufficient condition on the integersD1andD2for thefieldsQ(D1) andQ(D2) to be isomorphic.
Section 7.6 Problem 1.An elementeRis called anidempotentife2=e.Assumeeis an idempotent inR, ander=refor allrR. Prove thatReandR(1e) are two-sided ideals ofRand thatR=Re×R(1e). Show thateand1eare identities for the subringsReandR(1e) respectively.

Upload your study docs or become a

Course Hero member to access this document

Upload your study docs or become a

Course Hero member to access this document

End of preview. Want to read all 7 pages?

Upload your study docs or become a

Course Hero member to access this document

Term
Spring
Professor
unkn
Tags
Integers, Ring, Euclidean domain, Principal ideal domain, common multiple

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture