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IRREDUCIBLE GE-FILTERS AND GE-MORPHISMS IN GE-ALGEBRAS
- Authors
- Bandaru, R.; Öztürk, M.A.; Jun, Y.B.
- Issue Date
- 2024
- Publisher
- Palestine Polytechnic University
- Keywords
- (irreducible) GE-filter; GE-morphism; under-system; weak GE-morphism
- Citation
- Palestine Journal of Mathematics, v.13, no.4, pp 20 - 27
- Pages
- 8
- Indexed
- SCOPUS
- Journal Title
- Palestine Journal of Mathematics
- Volume
- 13
- Number
- 4
- Start Page
- 20
- End Page
- 27
- ISSN
- 2219-5688
2219-5688
- Abstract
- The concepts of irreducible GE-filter and under-system are introduced and their properties are investigated in a GE-algebra. Given a GE-filter, the existence of irreducible GE-filter containing it is revealed.Conditions for a GE-filter to be irreducible are given. The irreducible GE-filter is used to characterize weak GE-morphism. The existence of irreducible GE-filter which contains a GE-filter and is disjoint with an under-system is established. Based on GE-morphism, the existence of irreducible GE-filter is discussed. Conditions that allow a weak GE-morphism to be a GE-morphism are explored, and a necessary and sufficient condition for a GE-morphism to be injective is given. © Palestine Polytechnic University-PPU 2024.
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