학술저널
SOME PROPERTIES OF DERIVATIONS ON CI-ALGEBRAS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 27, No. 2
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2014.05297 - 307 (11 pages)
- 2
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.
1. Introduction
2. Preliminaries
3. Derivations on CI-algebras
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