Let R be a ring, and let a be a fixed element of R. Let R a

Question:

Let R be a ring, and let a be a fixed element of R. Let Ra be the subring of R that is the intersection of all subrings of R containing a. The ring Ra is the subring of R generated by a. Show that the abelian group (Ra,+) is generated (in the sense of Section 7) by {an |n ∈ Z+}.


Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: