SOME PROPERTIES OF DERIVATIONS ON CI-ALGEBRAS

• 발행기관: 충청수학회
• 저자명: Yong Hoon Lee Min Surp Rhee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 27, No. 2, 297~307쪽, 전체 11쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2014.05.30

영문 초록

The present paper gives the notion of a derivation on a CI-algebra X and investigates related properties. We de¯ne a set Fixd(X) by Fixd(X) = fx 2 X j d(x) = xg, where d is a derivation on a CI-algebra X. We show that Fixd(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.

목차

1. Introduction

2. Preliminaries

3. Derivations on CI-algebras