Topology on CL-algebras

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发表日期：

2024年7月5日

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H. Khajeh Nasir,
M. Aaly Kologani,
R. A. Borzooei

摘要

In this paper, by considering the notion of L-algebras and CL-algebras, we construct a topology on a bounded CL-algebra. Then, we investigate some of its topological properties, such as Hausdorff space, $T_0$ $T_{0}$ -space and $T_1$ $T_{1}$ -space and connectedness. Moreover, we express the relation between closed and compact sets in this topology. Finally, by considering the notion of semi-topological algebra, we prove that any commutative bounded CL-algebra is a right semi-topological algebra.