Abstract
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, \(T_0\)-space and \(T_1\)-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.
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Acknowledgements
The authors wish to thank the anonymous reviewers for their valuable suggestions. This work is supported by Foreign Export Program of China (Grant No. DL 20230410021).
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H. Khajeh Nasir, declares that she has no conflict of interest. R. A. Borzooei declares that he has no conflict of interest. M. Aaly Kologani declares that he has no conflict of interest.
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Khajeh Nasir, H., Aaly Kologani, M. & Borzooei, R.A. Topology on CL-algebras. Soft Comput 28, 7617–7625 (2024). https://doi.org/10.1007/s00500-024-09728-6
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DOI: https://doi.org/10.1007/s00500-024-09728-6