Talk:Topics in Abstract Algebra/Non-commutative rings

yings definition
A ring does not have an identity but such rings can be embedded in rings with an identity by Dorroh's theorem.

Seems incomplete
Certainly, there is more to be said on the topic of non-commutative rings that would be helpful to new students (such as myself). Perhaps this book is not meant to be the first exposure to algebra. Fantasticawesome (discuss • contribs) 20:03, 25 December 2019 (UTC)