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The Gamma-BE-ALGEBRAS

Authors
Jun, Young BaeBandaru, RavikumarKang, Jeong Gi
Issue Date
Jun-2023
Publisher
YARMOUK UNIV, DEANSHIP RESEARCH & GRADUATE STUDIES
Keywords
Gamma-BE-algebra; Gamma(alpha)-BE-algebra; subalgebra; filter
Citation
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, v.16, no.2, pp 361 - 377
Pages
17
Indexed
SCOPUS
ESCI
Journal Title
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS
Volume
16
Number
2
Start Page
361
End Page
377
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/67646
DOI
10.47013/16.2.10
ISSN
2075-7905
2227-5487
Abstract
We introduce the concept of as a generalization of a Gamma-BE-algebra and study its properties. For a fixed binary operation alpha in a set of binary operations on a non-empty set X, we introduce the concepts of beta-reflexive, beta-transitive, beta-antisymmetric, alpha-transitive, alpha-left distributive and alpha-left distributive Gamma(alpha)-BE-algebra and study the relations between them. We introduce the concept of beta-subalgebra and beta-filter in a Gamma(alpha)-BE-algebra and study the relation between alpha-subalgebra, alpha-filter and beta-subalgebra in a Gamma(alpha)-BE-algebra.
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