Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
GE-FILTERS, ORDERING FILTERS AND LEFT MAPPINGS IN GE-ALGEBRAS
- Issue Date
- Dec-2024
- Publisher
- ANKARA UNIV
- Keywords
- GE-filter; ordering filter; idempotent left mapping; GE-kernel
- Citation
- Communications Faculty of Sciences University of Ankara-series a1 Mathematics and Statistics, v.73, no.4, pp 1072 - 1087
- Pages
- 16
- Indexed
- ESCI
- Journal Title
- Communications Faculty of Sciences University of Ankara-series a1 Mathematics and Statistics
- Volume
- 73
- Number
- 4
- Start Page
- 1072
- End Page
- 1087
- ISSN
- 1303-5991
- Abstract
- 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.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - 사범대학 > 수학교육과 > Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.