Topologies on Hyper BCK-Algebra \([0, 1]\)
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i2.5394Keywords:
Hyper BCK-algebra, hyper order, bases, hyperoperation, topologyAbstract
In this paper, we introduce the definition of a hyper operation $\ast$ on the set [0,1], and with this hyper operation, we will show that [0,1] is a hyper BCK-algebra. We also investigate the topologies that will be formulated with $B_R{([0,1])}$ and $B_L{([0,1])}$ and show some topology of $R_[0,1](A)$ and $L_[0,1](A)$. Furthermore, we investigate a basis for the intersection of topologies $\tau_{R}(H)$ and $\tau_{L}(H)$.
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Copyright (c) 2025 Erneta I. Payla, MSc., Luzviminda Ranara
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