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On (para, quasi) topological MV-algebras.
- Source :
-
Fuzzy Sets & Systems . Apr2017, Vol. 313, p93-104. 12p. - Publication Year :
- 2017
-
Abstract
- In this paper, the notions of (para, quasi, semi) topological MV-algebras are defined and their related properties are studied. Also, topologies with which an MV-algebra can be a (para, semi) topological MV-algebra are obtained. Clearly, a topological MV-algebra is a (para, quasi, semi) topological MV-algebra, but the converse is not true, as shown by an example. In addition, we study ideals and filters in (para, quasi) topological MV-algebras, and we show that a quasitopological MV-algebra is a topological MV-algebra if the ideal {0}, or equivalently, the filter {1} is open. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01650114
- Volume :
- 313
- Database :
- Academic Search Index
- Journal :
- Fuzzy Sets & Systems
- Publication Type :
- Academic Journal
- Accession number :
- 121356510
- Full Text :
- https://doi.org/10.1016/j.fss.2016.04.012