TY - JOUR
ID - 101907
TI - Reflectional topology in MV-algebras
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Forouzesh, Fereshteh
AU - Hosseini, Naser
AD - Faculty of Mathematics and computing, Higher Education Complex of Bam, Kerman, Iran.
AD - Department of Pure Mathematics, Faculty of Math and Computers, Shahid Bahonar University of Kerman, Kerman, Iran
Y1 - 2022
PY - 2022
VL - 16
IS - 1
SP - 249
EP - 267
KW - Finitely meet-irreducible
KW - involutive
KW - (soaker
KW - join-soaker) ideal
KW - reflectional topology
DO - 10.52547/cgasa.2021.101907
N2 - 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.
UR - https://cgasa.sbu.ac.ir/article_101907.html
L1 - https://cgasa.sbu.ac.ir/article_101907_2ded973e84d70c127553282fbd184a99.pdf
ER -