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- W2766539960 abstract "In this study, we aim to solve the open problem posed by Zahiri and Borzooei [23], i.e., given an arbitrary linear topological BL-algebra (L,U), under what condition does its topology U coincides with the new one V induced by a system of filters. We investigate this problem for both finite BL-algebras and infinite BL-algebras. In the finite case, we give a necessary and sufficient condition. In the infinite case, we consider the conditions where the original topology U is zero-dimensional and (L,V) is an l–BL-algebra, respectively. In addition, we modify some examples of topological BL-algebras mentioned by Borzooei et al." @default.
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- W2766539960 date "2018-11-01" @default.
- W2766539960 modified "2023-10-17" @default.
- W2766539960 title "Notes on topological BL-algebras" @default.
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- W2766539960 doi "https://doi.org/10.1016/j.fss.2017.10.011" @default.
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