ISOMORPHISMS AND DERIVATIONS OF ALGEBRAS

Using a given ring, we define the Weyl-type non-associative rings in this work. If the ring is simple, then we show that the Weyl-type non-associative ring is simple in this work. All the derivations of a Weyl-type non-associative algebra are found in the papers (see [4, 6]). In this work, we find all the derivations of a Weyl-type algebra which includes the algebras in the papers (see [4, 6]). We show that the associators of the algebras and are zeroes.