Abstract
Let P be an arbitrary partially ordered set, R be a commutative ring with identity and FI(P, R) be the finitary incidence algebra of P over R. Under some natural assumption on R, we prove that each Lie-type derivation of FI(P, R) is proper, which partially generalizes the main results of Zhang and Khrypchenko (2017), Wang and Xiao (2019), and Xiao and Yang (2019).
| Original language | English |
|---|---|
| Pages (from-to) | 163-175 |
| Number of pages | 13 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 50 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Feb 2020 |
Keywords
- Derivation
- Finitary incidence algebra
- Lie-type derivation
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Khrypchenko, M., & Wei, F. (2020). Lie-type derivations of finitary incidence algebras. Rocky Mountain Journal of Mathematics, 50(1), 163-175. https://doi.org/10.1216/RMJ.2020.50.163