Reflectional topology in MV-algebras
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 139
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شناسه ملی سند علمی:
JR_CGASAT-16-1_008
تاریخ نمایه سازی: 10 بهمن 1400
چکیده مقاله:
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 T۰ and T۱-space in this topology.
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نویسندگان
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