On (*)-ideals and positive implicative ideals in bci-algebras

Hamza A. S. Abujabal, Jie Meng

Resumen


In the present paper, we given sorne equivalent conditions of (*)-ideals and positive implicative ideals in BCI-algebras and we clarify the relation of the two classes of ideals. Also, we obtain further properties of these ideals. Finally, we discuss a quotient algebra of a BCI-algebra by a closed (*)-ideal and a quotient algebra by positive implicative ideal.


Palabras clave


BCI-algebra ; Closed ideal ; (*)-ideal ; Positive implicative ideal ; Quotient algebra

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Referencias


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DOI: http://dx.doi.org/10.22199/S07160917.1999.0002.00007

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