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GE-FILTERS, ORDERING FILTERS AND LEFT MAPPINGS IN GE-ALGEBRAS
- ozturk, Mehmet Ali;
- Bandaru, Ravikumar;
- Jun, Young Bae
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0초록
The notions of ordering filter and left mapping in a GE-algebra are introduced, and their properties are investigated. Relations between ordering filters and GE-filters are established. Conditions for an ordering filter to be a GE-filter, and vice versa, are provided. The conditions under which a left mapping becomes injective or an identity are explored. The conditions under which the GE-kernel of a self-mapping will be a GE-filter are provided. It is confirmed that the sets of all left mappings form a semigroup, and that the sets of all idempotent left mappings form a subsemigroup. The conditions under which the sets of all left mappings can be closed with respect to a binary operation are investigated.
키워드
GE-filter; ordering filter; idempotent left mapping; GE-kernel
- 제목
- GE-FILTERS, ORDERING FILTERS AND LEFT MAPPINGS IN GE-ALGEBRAS
- 저자
- ozturk, Mehmet Ali; Bandaru, Ravikumar; Jun, Young Bae
- 발행일
- 2024-12
- 유형
- Article
- 저널명
- Communications Faculty of Sciences University of Ankara-series a1 Mathematics and Statistics
- 권
- 73
- 호
- 4
- 페이지
- 1072 ~ 1087