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Fuzzy Ideals in Pseudo-Hoop Algebras

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  • Teferi Getachew Alemayehu
  • Maria A. Lledo

Abstract

In this study, fuzzy ideals in pseudo-hoop algebras are presented. Also, we investigate fuzzy congruences relations on pseudo-hoop algebras induced by fuzzy ideals. By using fuzzy ideals, we create the fuzzy quotient pseudo-hoop algebras and identify and demonstrate the one-to-one relationship between the set of all normal fuzzy ideals of a pseudo-hoop algebra H with conditions p  DN and the set of all fuzzy congruences relation on H. Additionally, we investigate the relationship between fuzzy ideals and fuzzy filters in pseudo-hoop algebras by considering the set of complement elements of pseudo-hoop algebras. Lastly, we study fuzzy prime ideals and fuzzy ⊙-prime ideals and their relation.

Suggested Citation

  • Teferi Getachew Alemayehu & Maria A. Lledo, 2022. "Fuzzy Ideals in Pseudo-Hoop Algebras," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2022, pages 1-10, September.
    • Handle: RePEc:hin:jijmms:4643252
    DOI: 10.1155/2022/4643252
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