Quotient BCI-algebras induced by pseudo-valuations

author

  • Shokoofeh Ghorbani
Abstract:

In this paper, we study pseudo-valuations on a BCI-algebra and obtain some related results. The relation between pseudo-valuations and ideals is investigated. We use a pseudo-metric induced by a pseudovaluation to introduce a congruence relation on a BCI-algebra. We define the quotient algebra induced by this relation and prove that it is also a BCI-algebra and study its properties.

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Journal title

volume 5  issue None

pages  13- 24

publication date 2010-11

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