kshghoun d.

asked • 09/29/16

Ideal and subring

please I want help with that
 
 
Consider the ring Mn(R) ofn x n matrices over R, a ring with identity. A square matrix (aij) is said to be upper triangular if aij = 0 for i > j and strictly upper triangular if aij = 0 for i > or equal  j. Let Tn(R) and Tn^s(R) denote the sets of all upper triangular and strictly upper triangular matrices in Mn(R), respectively. Prove each of the following:
a) Tn(R) and Tn^s(R) are both subrings of Mn(R).
b) Tn^s(R) is an ideal of the ring Tn(R).

1 Expert Answer

By:

Peter G. answered • 09/29/16

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