Title of article :
VOLUNTARY GE-FILTERS AND FURTHER RESULTS OF GE-FILTERS IN GE-ALGEBRAS
Author/Authors :
Borumand Saeid ، A. Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman , Rezaei ، A. Department of Mathematics - Payame Noor University , Bandaru ، R. K. Department of Mathematics - GITAM(Deemed to be University) , Jun ، Y. B. Department of Mathematics Education - Gyeongsang National University
Abstract :
Further properties on (belligerent) GE-filters are discussed, and the quotient GE-algebra via a GE-filter is established. Conditions for the set →c 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 antisymmetric 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 GEf ilter are considered. The GE-filter generated by a given subset is established, and its shape is identified.
Keywords :
(Commutative , Transitive , Left exchangeable , Antisymmetric , Balanced) GEalgebra , Quotient GE , algebra , (Belligerent , Balanced , Voluntary) GE , filter , Balanced element.
Journal title :
Journal of Algebraic Systems
Journal title :
Journal of Algebraic Systems
