%0 Journal Article
%T Simple Deformed Witt Algebras
%A Guang'ai Song
%A Chunguang Xia
%J Mathematics
%D 2014
%I arXiv
%X For any factorization domain $\cal A$ and an algebra endomorphism $\sigma$ of $\cal A$, there exists a non-associative algebra $({\cal A},\sigma,[\cdot,\cdot])$ with multiplication satisfying skew-symmetry and generalized (twisted) Jacobi identities, called a $\sigma$-deformed Witt algebra. In this paper, we obtain the necessary and sufficient conditions for the algebra $({\cal A},\sigma,[\cdot,\cdot])$ to be simple.
%U http://arxiv.org/abs/1402.0980v1