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Keywords = bitonic algebras

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9 pages, 2220 KB  
Article
On Filters of Bitonic Algebras
by Şule Ayar Özbal
Symmetry 2022, 14(8), 1509; https://doi.org/10.3390/sym14081509 - 23 Jul 2022
Cited by 1 | Viewed by 1798
Abstract
With the deep study in this work, we introduce the concept of filters of a bitonic algebra A. We study some fundamental structures of such determined filters. We also focus on features of filters with respect to homomorphisms. With the help of [...] Read more.
With the deep study in this work, we introduce the concept of filters of a bitonic algebra A. We study some fundamental structures of such determined filters. We also focus on features of filters with respect to homomorphisms. With the help of the idea of upper sets, we investigate basic ideas of filters in a bitonic algebra, and we also state some important theorems related to them. We obtain some relations between filters of bitonic algebras and upper sets. We obtain an equivalent condition of the filters with the help of the notion of upper sets. Full article
(This article belongs to the Special Issue Mathematical Models: Methods and Applications)
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