MULTIPLICATION AND TRANSLATION OF CUBIC $\beta-$IDEALS
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 112
DOI: https://doi.org/10.56827/SEAJMMS.2022.1803.20
Author :
P. Muralikrishna (PG and Research Department of Mathematics, Muthurangam Government Arts College (Autonomous), Vellore - 632002, Tamil Nadu, INDIA)
R. Vinodkumar (Department of Mathematics, Prathyusha Engineering College, Aranvoyalkuppam, Thiruvallur - 602025, INDIA)
G. Palani (Department of Mathematics, Dr. Ambedkar Government Arts College, Chennai, INDIA)
Abstract
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.
Keywords and Phrases
$\beta-$algebra, $\beta-$ideals, Cubic $\beta-$ideal, cubic ideals, Cubic translation, Cubic multiplication.
A.M.S. subject classification
06F35, 03G25, 08A72, 03E72.
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