@article {
author = {Borumand Saeid, A. and Rezaei, A. and Bandaru, R. and Jun, Y. B.},
title = {VOLUNTARY GE-FILTERS AND FURTHER RESULTS OF GE-FILTERS IN GE-ALGEBRAS},
journal = {Journal of Algebraic Systems},
volume = {10},
number = {1},
pages = {31-47},
year = {2022},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2021.10357.1511},
abstract = {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},
keywords = {GE-algebra,quotient GE-algebra,belligerent GE-filter,voluntary GE-filter,balanced element},
url = {https://jas.shahroodut.ac.ir/article_2320.html},
eprint = {https://jas.shahroodut.ac.ir/article_2320_d3dbe1e21cedb80b82201fd26488d9bd.pdf}
}