代数的特殊高阶导子群的伴随同态

THE ADJOINT HOMOMORPHISMS OF SPECIAL HIGHER DERIVATION GROUPS

设Φ-P是域扩张,B是P-代数.本文建立一个由P-代数B的特殊高阶导子群到EndpB的高阶导子群的群同态,并研讨其性质.

Let Φ be an arbitrary field and P an extension of Φ. In this paper we construct the so-called adjoint homomorphism of the special higher derivation group of a P-algebra B into the higher derivation group of EndpB. In addition we obtain some properties of adjoint homomorphisms.