Ideals (one-sided ideals) of $n×n$ upper triangular matrices

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Is there any characterization of ideals (one-sided ideals) of $n\times n$ upper triangular matrices? I have just seen in monthly journal about $2 \times 2$ matrices in the below article Left and Right Ideals in the Ring of $2 \times 2$ Matrices Henryk Minc The American Mathematical Monthly Vol. 71, No. 1 (Jan., 1964), pp. 72-75