@article{Topologies on a Hyper Sum and Hyper Product of Two Hyper BCK-algebras_2019, place={Maryland, USA}, volume={12}, url={https://www.ejpam.com/index.php/ejpam/article/view/3559}, DOI={10.29020/nybg.ejpam.v12i4.3559}, abstractNote={
Given a hyper BCK-algebra (H, âˆ—, 0), each of the families BL(H) = {LH(A) : âˆ… 6=
A âŠ† H} and BR(H) = {RH(A) : âˆ… 6= A âŠ† H} forms a base for some topology on H, where LH(A) = {x âˆˆ H : x a, âˆ€a âˆˆ A} and RH(A) = {x âˆˆ H : a x, âˆ€a âˆˆ A} for any subset A of H. In this paper, we determine the bases of the topologies induced by the hyper sum H1 âŠ• H2 and hyper product H1 Ã— H2, where (H1, âˆ—1, 01) and (H2, âˆ—2, 02) are two hyper BCK-algebras.
}, number={4}, journal={European Journal of Pure and Applied Mathematics}, year={2019}, month={Oct.}, pages={1524–1532} }