Abstract
Let R be a commutative ring with identity, A and B be unital algebras over R and M be a unital (it A,it B)-bimodule. Let T=AM0B be the triangular algebra consisting of A, it Band M. Motivated by the work of Cheung [14] we mainly consider the question whether every higher derivation on a triangular algebra is an inner higher derivation. We also give some characterizations on (generalized-)Jordan (triple-)higher derivations of triangular algebras.
| Original language | English |
|---|---|
| Pages (from-to) | 1034-1054 |
| Number of pages | 21 |
| Journal | Linear Algebra and Its Applications |
| Volume | 435 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 Sept 2011 |
Keywords
- (generalized-)Jordan (triple-)higher derivation
- Higher derivation
- Inner higher derivation
- Triangular algebra
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Wei, F., & Xiao, Z. (2011). Higher derivations of triangular algebras and its generalizations. Linear Algebra and Its Applications, 435(5), 1034-1054. https://doi.org/10.1016/j.laa.2011.02.027