give a example of ring without unity that is contained in field
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Hint: Matrix rings are a good example of non-commutative rings. 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).
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Hint: Matrix rings are a good example of non-commutative rings. 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).
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