VOLUNTARY GE-FILTERS AND FURTHER RESULTS OF GE-FILTERS IN GE-ALGEBRAS
  • Saeid, A. borumand
  • Rezaei, A.
  • Bandaru, R. K.
  • Jun, Y. B.
Citations

WEB OF SCIENCE

2
Citations

SCOPUS

7

초록

Further properties on (belligerent) GE-filters are discussed, and the quotient GE-algebra via a GE-filter is established. Conditions for the set (c) over right arrow to be a belligerent GE-filter are provided. The extension property of belligerent GE-filter is composed. The notions of a balanced element, a balanced GE-filter, an anti- symmetric GE-algebra and a voluntary GE-filter are introduced, and its properties are examined. The relationship between a GEsubalgebra and a GE-filter is established. Conditions for every element in a GE-algebra to be a balanced element are provided. The conditions necessary for a GE-filter to be a voluntary GEfilter are considered. The GE-filter generated by a given subset is established, and its shape is identified.

키워드

(Commutative, Transitive, Left exchangeable, Antisymmetric, Balanced) GEalgebraQuotient GE-algebra(Belligerent, Balanced, Voluntary) GE-filterBalanced element
제목
VOLUNTARY GE-FILTERS AND FURTHER RESULTS OF GE-FILTERS IN GE-ALGEBRAS
저자
Saeid, A. borumandRezaei, A.Bandaru, R. K.Jun, Y. B.
DOI
10.22044/JAS.2021.10357.1511
발행일
2022-09
유형
Article
저널명
JOURNAL OF ALGEBRAIC SYSTEMS
10
1