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Comparison of two topologies on IL-algebra

  • Foundation, algebraic, and analytical methods in soft computing
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Abstract

The main objective of this paper is to compare two linear topologies on IL-algebra. An open problem was proposed by Zahiri and Borzooei in 2016 in the context of topological BL-algebras, where they ask for necessary and sufficient conditions for two particular topologies to coincide. A partial solution to this problem in the case of topological IL-algebra is given. This study generalizes similar studies on topological FL\(_{\text{ ew }}\)-algebra, BL-algebra, and MV-algebra.

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Correspondence to Jayanta Sen.

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Islam, S., Sanyal, A. & Sen, J. Comparison of two topologies on IL-algebra. Soft Comput 27, 6085–6094 (2023). https://doi.org/10.1007/s00500-023-07908-4

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  • DOI: https://doi.org/10.1007/s00500-023-07908-4

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