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!
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!
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".