Question

Give examples of a non-commutative ring, and a ring without unity

Answer 1

Answer:

NON COMMUTATIVE RING

The matrix ring of n-by-n matrices over the real numbers, where n > 1. Hamilton's quaternions. ...

A RING WITHOUT UNITY EXAMPLE

There are many examples in this spirit: the n×n matrices over a finite field with bottom row zero. and then consider the ring Mn(S), the ring of n×n matrices with elements in S (notice this does not include the identity matrix as 1∉S)

Step-by-step explanation:

Answer 2

Hey!!

Matrix ring is good example