(Weak) Implicative hyper $K$-ideals
Bull. Korean Math. Soc. 2003 Vol. 40, No. 1, 123-137
Published online March 1, 2003
A. Borumand Saeid, R. A. Borzooei, and M. M. Zahedi
Islamic Azad University of Kerman, Sistan and Baluchestan University, Shahid Bahonar University of Kerman
Abstract : In this note first we define the notions of weak implicative and implicative hyper $K$-ideals of a hyper $K$-algebra $H$. Then we state and prove some theorems which determine the relationship between these notions and (weak) hyper $K$-ideals. Also we give some relations between these notions and all types of positive implicative hyper $K$-ideals. Finally we classify the implicative hyper $K$-ideals of a hyper $K$-algebra of order 3.
Keywords : hyper $K$-algebra, hyper $K$-ideal, (weak) implicative hyper $K$-ideal
MSC numbers : 06F35, 03G25
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