SOME PROPERTIES OF DERIVATIONS ON CI-ALGEBRAS

Abstract

The present paper gives the notion of a derivation on a CI-algebra X and investigates related properties. We define a set F ixd(X) by F ixd(X) = {x ∈ X | d(x) = x}, where d is a derivation on a CI-algebra X. We show that F ixd(X) is a subalgebra of X. Also, we prove some one-to-one and onto derivation theorems. Moreover, we study a regular derivation on a CI-algebra and an isotone derivation on a transitive CI-algebra.

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