Reflectional topology in MV-algebras
Publish Year: 1401
Type: Journal paper
Language: English
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Document National Code:
JR_CGASAT-16-1_008
Index date: 30 January 2022
Reflectional topology in MV-algebras abstract
In this paper, we define soaker ideals in an MV-algebra, and study the relationships between soaker ideals and the other ideals in an involutive MV -algebras. Then we introduce a topology on the set of all the soaker ideals, which we call reflectional topology, and give a basis for it. By defining the notion of join-soaker ideals, we show that the reflectional topology is compact. We also give a characterization of connectedness of the reflectional topology. Finally, we investigate the properties of T0 and T1-space in this topology.
Reflectional topology in MV-algebras Keywords:
Reflectional topology in MV-algebras authors
Fereshteh Forouzesh
Faculty of Mathematics and computing, Higher Education Complex of Bam, Kerman, Iran.
Naser Hosseini
Department of Pure Mathematics, Faculty of Math and Computers, Shahid Bahonar University of Kerman, Kerman, Iran