VOLUNTARY GE-FILTERS AND FURTHER RESULTS OF GE-FILTERS IN GE-ALGEBRAS
نویسندگان
1 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
2 Department of Mathematics, GITAM(Deemed to be University), P.O. Box 502329 Telangana State, India.
3 Department of Mathematics Education, Gyeongsang National University, P.O. Box 52828, Jinju, Korea.
4 Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, P.O. Box 76169-14111, Kerman, Iran.
doi
10.22044/jas.2021.10357.1511چکیده
Further properties on (belligerent) GE-filters are discussed, and the quotient GEalgebra via a GE-filter is established. Conditions for the set →c to be a belligerent GE-filterare provided. The extension property of belligerent GE-filter is composed. The notions of abalanced element, a balanced GE-filter, an antisymmetric GE-algebra and a voluntary GE-filterare introduced, and its properties are examined. The relationship between a GE-subalgebraand a GE-filter is established. Conditions for every element in a GE-algebra to be a balancedelement are provided. The conditions necessary for a GE-filter to be a voluntary GE-filter areconsidered. The GE-filter generated by a given subset is established, and its shape is identified
