VOLUNTARY GE-FILTERS AND FURTHER RESULTS OF GE-FILTERS IN GE-ALGEBRAS

Document Type : Original Manuscript

Authors

1 Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, P.O. Box 76169-14111, Kerman, Iran.

2 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.

3 Department of Mathematics, GITAM(Deemed to be University), P.O. Box 502329 Telangana State, India.

4 Department of Mathematics Education, Gyeongsang National University, P.O. Box 52828, Jinju, Korea.

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-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

Keywords

References

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Journal of Algebraic Systems
Volume 10, Issue 1
September 2022
Pages 31-47

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