Reflectional topology in MV-algebras
عنوان مقاله: Reflectional topology in MV-algebras
شناسه ملی مقاله: JR_CGASAT-16-1_008
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_CGASAT-16-1_008
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
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
خلاصه مقاله:
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
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.
کلمات کلیدی: Finitely meet-irreducible, involutive, (soaker, join-soaker) ideal, reflectional topology
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1386968/