Original sentence: Every finite field is an example of a finite ring, and the additive part of every finite ring is an example of a finite group, but the concept of finite rings in their own right has a more recent history.In abstract algebra, a finite ring is a ring (not necessarily with a multiplicative identity) that has a finite number of elements
Edited sentence: Every finite field is an example of a finite ring, and the additive part of every finite ring is an example of a finite abelian group, but the concept of finite rings in their own right has a more recent history.In mathematics, more specifically abstract algebra, a finite ring is a ring (not necessarily with a multiplicative identity) that has a finite number of elements