Let p be a fixed prime, and let R be the subring of Q consisting of all rational numbers a/b with (b,p) = 1. a) Show that R has a unique maximal ideal M. b) What are the prime ideals of R? c) Show that R/M is isomorphic to Z/pZ .
Follow Math Help Forum on Facebook and Google+
Hi, Attached is the complete solution:
View Tag Cloud