VOLUNTARY GE-FILTERS AND FURTHER RESULTS OF GE-FILTERS IN GE-ALGEBRAS | ||
| Journal of Algebraic Systems | ||
| دوره 10، شماره 1، آذر 2022، صفحه 31-47 اصل مقاله (158.92 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2021.10357.1511 | ||
| نویسندگان | ||
| A. Borumand Saeid1؛ A. Rezaei2؛ R. Bandaru* 3؛ Y. B. Jun4 | ||
| 1Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, P.O. Box 76169-14111, Kerman, Iran. | ||
| 2Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran. | ||
| 3Department of Mathematics, GITAM(Deemed to be University), P.O. Box 502329 Telangana State, India. | ||
| 4Department of Mathematics Education, Gyeongsang National University, P.O. Box 52828, Jinju, Korea. | ||
| چکیده | ||
| 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-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 GE-subalgebra 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 GE-filter are considered. The GE-filter generated by a given subset is established, and its shape is identified | ||
| کلیدواژهها | ||
| GE-algebra؛ quotient GE-algebra؛ belligerent GE-filter؛ voluntary GE-filter؛ balanced element | ||
| مراجع | ||
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