کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10150953 1666102 2018 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Notes on topological BL-algebras
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Notes on topological BL-algebras
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 350, 1 November 2018, Pages 33-40
نویسندگان
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