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Muralikrishna, P.; Vinodkumar, R.; Palani, G.

Multiplication and translation of cubic \(\beta\)-ideals. (English) Zbl 1524.06048

South East Asian J. Math. Math. Sci. 18, No. 3, 247-254 (2022).
Summary: Cubic set is a structure with two components which has been applied in the conditions of \(\beta\)-ideals. This paper presents the notion of cubic fuzzy \(\beta\)-ideal of a \(\beta\)-algebra. In addition that, the notion of cubic \((\overline{a},b)\)-translation, cubic \(\mu \)-multiplication were presented. Further, some engrossing results of cubic \(\beta\)-ideals with the combination of multiplication and translation were investigated.

MSC:

06F35 BCK-algebras, BCI-algebras

Keywords:

\( \beta\)-algebra; \( \beta\)-ideals; cubic \(\beta\)-ideal; cubic ideals; cubic translation; cubic multiplication
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References:

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