Geodesic
On derivations over rings of triangular matrices
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 30 (2005) no. 1 
A. L. Barrenechea; C. C. Pena. On derivations over rings of triangular matrices. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 30 (2005) no. 1. http://geodesic.mathdoc.fr/item/BASS_2005_30_1_a5/
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     title = {On derivations over rings of triangular matrices},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {77 - 84},
     year = {2005},
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     url = {http://geodesic.mathdoc.fr/item/BASS_2005_30_1_a5/}
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Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The purpose of this article is to describe the structure of derivations over general rings of upper or lower triangular matrices. Some examples are developed, together with a simple formula that gives the dimension of the module of derivations on the center of the underlying ring.