충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제27권2호
  • /
  • Pages.297-307
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  • 2014
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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SOME PROPERTIES OF DERIVATIONS ON CI-ALGEBRAS

  • 투고 : 2014.03.03
  • 심사 : 2014.04.07
  • 발행 : 2014.05.15
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초록

The present paper gives the notion of a derivation on a CI-algebra X and investigates related properties. We define a set $Fix_d(X)$ by $Fix_d(X)=\{x{\in}X{\mid}d(x)=x\}$, where d is a derivation on a CI-algebra X. We show that $Fix_d(X)$ 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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참고문헌

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