Examples of Finite Non-Commutative Rings

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can anyone give me examples of:

1.finite non-commutative ring with identity
2.finite non-commutative ring without identity
 
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1. Set of all nxn matrices over F_p for some p, with respect to normal + and * (for n>1).

2. I think you should be able to find some subring of (1) that will do. I'll let you toy with it.
I'd try setting an n, and maybe also a p, if I were you.
 
Murshid,

You already have a version of this thread which has been relocated to the Homework Help section of this site. If you want to receive help on questions such as these, you should post there and before that read the sticky at the top of that Forum.

https://www.physicsforums.com/showthread.php?t=4825
 
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