L-Fuzzy Congruences and L-Fuzzy Kernel Ideals in Ockham Algebras

Alemayehu, Teferi Getachew; Engidaw, Derso Abeje; Addis, Gezahagne Mulat

doi:10.1155/2021/6644443

Cited by 5 publications

(1 citation statement)

References 39 publications

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“…Rosenfeld [11] introduced fuzzy subgroups and his work led to a new eld in fuzzy mathematics. Since then many mathematicians have been used this idea and applied in di erent algebras such as in group [12][13][14], ring [15][16][17], Universal algebra [18][19][20][21][22], lattice [23][24][25][26], Ockham algebra [27,28], MS-algebra [29][30][31][32], BL-algebra [33][34][35][36][37], BE-algebra [38,39] etc.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Ideals in Pseudo-Hoop Algebras

Alemayehu

2022

International Journal of Mathematics and Mathematical Sciences

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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 D N 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.

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