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Prominent interior GE-filters of GE-algebrasopen access
- Issue Date
- Dec-2021
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- (transitive) GE-algebra; GE-filter; interior GE-filter; prominent interior GE-filter (of type 1 and type 2)
- Citation
- AIMS MATHEMATICS, v.6, no.12, pp 13432 - 13447
- Pages
- 16
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS MATHEMATICS
- Volume
- 6
- Number
- 12
- Start Page
- 13432
- End Page
- 13447
- ISSN
- 2473-6988
2473-6988
- Abstract
- 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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