Similarly, give an example of an infinite non-commutative ring that does not have a unity.
[Math] Give an example of a finite non-commutative ring.
abstract-algebraring-theory
abstract-algebraring-theory
Similarly, give an example of an infinite non-commutative ring that does not have a unity.
Best Answer
$\textbf{Hint:}$ Think about matrix rings. They are usually non-commutative.