TY - JOUR
ID - 2320
TI - VOLUNTARY GE-FILTERS AND FURTHER RESULTS OF GE-FILTERS IN GE-ALGEBRAS
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Borumand Saeid, A.
AU - Rezaei, A.
AU - Bandaru, R.
AU - Jun, Y. B.
AD - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid
Bahonar University of Kerman, P.O. Box 76169-14111, Kerman, Iran.
AD - Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran,
Iran.
AD - Department of Mathematics, GITAM(Deemed to be University), P.O. Box 502329
Telangana State, India.
AD - Department of Mathematics Education, Gyeongsang National University, P.O. Box
52828, Jinju, Korea.
Y1 - 2022
PY - 2022
VL - 10
IS - 1
SP - 31
EP - 47
KW - GE-algebra
KW - quotient GE-algebra
KW - belligerent GE-filter
KW - voluntary GE-filter
KW - balanced element
DO - 10.22044/jas.2021.10357.1511
N2 - 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
UR - https://jas.shahroodut.ac.ir/article_2320.html
L1 - https://jas.shahroodut.ac.ir/article_2320_d3dbe1e21cedb80b82201fd26488d9bd.pdf
ER -