DERIVATIONS OF UPPER-TRIANGULAR MATRIX-RINGS

Authors
COELHO SP MILIES CP
Citation
Sp. Coelho et Cp. Milies, DERIVATIONS OF UPPER-TRIANGULAR MATRIX-RINGS, Linear algebra and its applications, 187, 1993, pp. 263-267
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
187
Year of publication
1993
Pages
263 - 267
Database
ISI
SICI code
0024-3795(1993)187:<263:DOUM>2.0.ZU;2-F
Abstract
We give a description of the derivations in T(n)(R), the ring of upper triangular matrices over a ring R, assuming only the existence of an identity element. We show that every derivation is the sum of an inner derivation and another one induced from R.