1. In this paper, the storage mapping of triangular matrix is discussed.

2. The infinite upper ( lower ) triangular matrix Division ring is discussed.

3. Meanwhile, an analogous result over formal triangular matrix ring is also obtained.

4. In this paper, we investigate the tilting modules, stable modules, directing modules, projective and injective modules of triangular matrix algebras.

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5. This article gives a Formula for finding inverse matrices of upper (down) triangular matrix.

6. A substance is through the primary transformation into an upper triangular matrix, the transformation matrix is a unit lower triangular matrix.

7. In this paper, first, we analysis that there is an upper triangular matrix or a lower triangular matrix which is similar to a square matrix.

8. We study in this paper the structure of additive mappings on triangular matrix algebras which preserve commutativity.

9. The authors characterize the forms of additive invertable operators preserving inverse matrix of the upper triangular matrix space over a field which characteristic is not 2 or 3 .

10. Topology information of network structure was also ohtained through converting an incidence matrix into standard triangular matrix.