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

• Abujabal, Hamza A. S. ^[1] ; Meng, Jie ^[2]
  1. [1] King Abdul Aziz University Hospital

     King Abdul Aziz University Hospital

     Arabia Saudí

     
  2. [2] Northwest University

     Northwest University

     China

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 18, Nº. 2, 1999, págs. 195-205
• Idioma: inglés
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• 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.