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H. Harizavi

Department of Mathematics, Shahid Chamran University

[ 1 ] - On Direct Sum of Branches in Hyper BCK-algebras

In this paper, the notion of direct sum of branches in hks is introduced and some related properties are investigated. Applying this notion to lower hyper $BCK$-semi lattice, a necessary condition for a hi to be prime is given. Some properties of hkc are studied. It is proved that if $H$ is a hkc and $[a)$ is finite for any $ain H$, then $mid Aut(H)mid=1$.

[ 2 ] - P-CLOSURE IN PSEUDO BCI-ALGEBRAS

In this paper, for any non-empty subset C of a pseudo<br /> BCI-algebra X, the concept of p-closure of C, denoted by C(pc), is<br /> introduced and some related properties are investigated. Applying<br /> this concept, a characterization of the minimal elements of X is<br /> given. It is proved that C(pc) is the least closed pseudo BCI-ideal of X<br /> containing C and K(X) for any ideal C of X...