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A new generalization of BE-algebras
In this paper we introduce the notion of [Formula: see text]-algebras as a generalization of BE-algebras, we investigate its elementary properties. The aim of this paper is to investigate the concept of filters, left ideals (right ideal, ideal) and fuzzy filters in [Formula: see text]-algebras. More...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6197410/ https://www.ncbi.nlm.nih.gov/pubmed/30364568 http://dx.doi.org/10.1016/j.heliyon.2018.e00863 |
Sumario: | In this paper we introduce the notion of [Formula: see text]-algebras as a generalization of BE-algebras, we investigate its elementary properties. The aim of this paper is to investigate the concept of filters, left ideals (right ideal, ideal) and fuzzy filters in [Formula: see text]-algebras. Moreover, we investigate relationships between left ideals and filters in [Formula: see text]-algebras. Furthermore, we characterize filters in terms of fuzzy filters. It is shown that if I be a left ideal of a [Formula: see text]-algebra X, then [Formula: see text] is a left ideal of X for all [Formula: see text]. |
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