Prominent interior GE-filters of GE-algebras | Zendy

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

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Prominent interior GE-filters of GE-algebras

Author(s) -

Seok-Zun Song,

Ravikumar Bandaru,

Young Bae Jun

Publication year - 2021

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2021778

Subject(s) - filter (signal processing) , filter design , interior design , computer science , engineering , architectural engineering , computer vision

The concept of a prominent interior GE-filter (of type 1 and type 2) is introduced, and their properties are investigated. The relationship between a prominent GE-filter and a prominent interior GE-filter and the relationship between an interior GE-filter and a prominent interior GE-filter are discussed. Examples to show that any interior GE-filter is not a prominent interior GE-filter and any prominent GE-filter is not a prominent interior GE-filter are provided. Conditions for an interior GE-filter to be a prominent interior GE-filter are given. Also, conditions under which an internal GE-filter larger than a given internal GE filter can become a prominent internal GE-filter are considered, and an example describing it is given. The relationship between a prominent interior GE-filter and a prominent interior GE-filter of type 1 is discussed.

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