Ring with Unity

$\begingroup$

I saw the term "a ring with unity", and wikipedia mentions that unity refers to the identity element $1_R$ of the ring. So is a ring with unity the same as a ring with identity?

Thanks!

$\endgroup$ 3

1 Answer

$\begingroup$

Unity means a multiplicative identity, in the same way that things which are nth roots of 1 in the field $\mathbb{C}$ are called roots of "unity".

$\endgroup$

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password

Post as a guest

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

You Might Also Like