Imploring GE-Filters of GE-Algebras | Zendy

Seok-Zun Song | Zendy; Ravikumar Bandaru | Zendy; Young Bae Jun | Zendy

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Imploring GE-Filters of GE-Algebras

Author(s) -

Seok-Zun Song,

Ravikumar Bandaru,

Young Bae Jun

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6651531

Subject(s) - belligerent , mathematics , filter (signal processing) , filter design , algebra over a field , pure mathematics , computer science , law , politics , political science , computer vision

Relations between a transitive GE-algebra, a belligerent GE-algebra, an antisymmetric GE-algebra, and a left exchangeable GE-algebra are displayed. A new substructure, so called imploring GE-filter, is introduced, and its properties are investigated. The relationship between a GE-filter, an imploring GE-filter, a belligerent GE-filter, and a prominent GE-filter are considered. Conditions for an imploring GE-filter to be a belligerent GE-filter are given, and the conditions necessary for a (belligerent) GE-filter to be an imploring GE-filter are found. Relations between a prominent GE-filter and an imploring GE-filter are discussed, and a condition for an imploring GE-filter to be a prominent GE-filter is provided. Examples to show that a belligerent GE-filter and a prominent GE-filer are independent concepts are given. The extension property of the imploring GE-filter is established.

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