Inverse topology in MV-algebras

We introduce the inverse topology on the set of all minimal prime ideals of an MV-algebra $A$ and show that the set of all minimal prime ideals of $A$, namely ${\rm Min}(A)$, with the inverse topology is a compact space, Hausdorff, $T_0$-space and $T_1$-space. Furthermore, we prove that the spectra...

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Bibliographic Details
Main Authors: Fereshteh Forouzesh, Farhad Sajadian, Mahta Bedrood
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2019-10-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/144/3/mb144_3_4.pdf