%0 Journal Article
%T VOLUNTARY GE-FILTERS AND FURTHER RESULTS OF GE-FILTERS IN GE-ALGEBRAS
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Borumand Saeid, A.
%A Rezaei, A.
%A Bandaru, R.
%A Jun, Y. B.
%D 2022
%\ 09/01/2022
%V 10
%N 1
%P 31-47
%! VOLUNTARY GE-FILTERS AND FURTHER RESULTS OF GE-FILTERS IN GE-ALGEBRAS
%K GE-algebra
%K quotient GE-algebra
%K belligerent GE-filter
%K voluntary GE-filter
%K balanced element
%R 10.22044/jas.2021.10357.1511
%X 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
%U https://jas.shahroodut.ac.ir/article_2320_d3dbe1e21cedb80b82201fd26488d9bd.pdf