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2-local derivation is a generalized derivation for a Lie algebra, which plays an important role to the study of local properties of the structure of the Lie algebra. In this paper, we prove that every 2-local derivation on the conformal Galilei algebra is a derivation.
2-local derivation is a generalized derivation for a Lie algebra, which plays an important role to the study of local properties of the structure of the Lie algebra. In this paper, we prove that every 2-local derivation on the twisted Heisenberg-Virasoro algebra is a derivation.
In the present paper, we prove that a local derivation on the octonion (Cayley) algebra $mathbb{O}$ over an arbitrary field, satisfying some conditions is a derivation, and every 2-local derivation on $mathbb{O}$ is a Jordan derivation.
The purpose of this paper is to introduce and investigate the notion of derivation for quandle algebras. More precisely, we describe the symmetries on structure constants providing a characterization for a linear map to be a derivation. We obtain a c
For the Drinfeld double $D_n$ of the Taft algebra $A_n$ defined over an algebraically closed field $mathbb k$ of characteristic zero using a primitive $n$th root of unity $q in mathbb k$ for $n$ odd, $nge3$, we determine the ribbon element of $D_n$ e
An arbitrary group action on an algebra $R$ results in an ideal $mathfrak{r}$ of $R$. This ideal $mathfrak{r}$ fits into the classical radical theory, and will be called the radical of the group action. If $R$ is a noetherian algebra with finite GK-d