Regular and Boolean elements in hoops and constructing Boolean algebras using regular filters

Regular and Boolean elements in hoops and constructing Boolean algebras using regular filters

We study hoops in order to give some new characterizations for regular and Boolean elements in hoops and we study the relationship between them. Specially, we prove that any bounded v-hoop is a Stone algebra if and only if MV -center set and Boolean elements set are equal. Then we define the concept...

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Bibliographic Details
Main Authors: Aaly Kologani M., Jun Y.B., Borzooei R.A.
Format: Article
Language:English
Published: Sciendo 2023-03-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
hoop
boolean element
regular element
regular filter
stone algebra
boolean algebra
archimedean hoop
primary 03g10, 06b99
secondary 06b75
Online Access:https://doi.org/10.2478/auom-2023-0016

Internet

https://doi.org/10.2478/auom-2023-0016

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