A Comparison of Some Properties of Matrices over Non-commutative Rings with Commutative

There are some properties of matrices over commutative rings. It is natural to ask if those properties are true over non-commutative rings. In this paper, someexamples in the case of matrices over non-commutative rings are given which emphasize that those properties are not held.

کلیدواژه ها:

division ring ، invertible ، matrices ، nilpotent ، transpose