A generalization of UP-algebras: Weak UP-algebras

A generalization of UP-algebras: Weak UP-algebras

Many logical algebras such as BE-, KU- and BCC-algebras have their weak version as generalization. It is known that a CI-algebra is a weak version of a BE-algebra, a JU-algebra is a weak version of a KU-algebra, and a BZ-algebra is a weak version of a BCC-algebra. In this paper, we introduce the c...

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Bibliographic Details
Main Authors: Aiyared Iampan, Daniel Abraham Romano
Format: Article
Language:English
Published: Prince of Songkla University 2021-04-01
Series:Songklanakarin Journal of Science and Technology (SJST)
Subjects:
up-algebra
weak up-algebra
closed wup-ideal
(★)-ideal
ag-ideal
strong ideal
regular ideal
associative ideal
t-ideal
Online Access:https://rdo.psu.ac.th/sjstweb/journal/43-2/30.pdf
Description
Summary:Many logical algebras such as BE-, KU- and BCC-algebras have their weak version as generalization. It is known that a CI-algebra is a weak version of a BE-algebra, a JU-algebra is a weak version of a KU-algebra, and a BZ-algebra is a weak version of a BCC-algebra. In this paper, we introduce the concept of weak UP-algebras as a generalization of UP-algebras, and investigate its basic properties. Additionally, some types of ideals in this type of algebras are introduced and analyzed.
ISSN:0125-3395

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