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Research and Publications - Department of Mathematics

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https://ir.ua.edu/handle/123456789/2847

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Browsing Research and Publications - Department of Mathematics by Author "Hallym University"

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    Fuzzy rank functions in the set of all binary systems
    (Springer, 2016) Kim, Hee Sik; Neggers, J.; So, Keum Sook; Hanyang University; University of Alabama Tuscaloosa; Hallym University
    In this paper, we introduce fuzzy rank functions for groupoids, and we investigate their roles in the semigroup of binary systems by using the notions of right parallelisms and rho-shrinking groupoids.
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    Generalized Fibonacci sequences in groupoids
    (Springer, 2013) Kim, Hee Sik; Neggers, J.; So, Keum Sook; Hanyang University; University of Alabama Tuscaloosa; Hallym University
    In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents. Using the notion of Smarandache-type P-algebra, we obtain several relations on groupoids which are derived from generalized Fibonacci sequences.
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    On Fibonacci functions with periodicity
    (Springer, 2012) Kim, Hee Sik; Neggers, Joseph; So, Keum Sook; Hanyang University; University of Alabama Tuscaloosa; Hallym University
    In this paper we discuss Fibonacci functions using the (ultimately) periodicity and we also discuss the exponential Fibonacci functions. Especially, given a non-negative real-valued function, we obtain several exponential Fibonacci functions.