摘要：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. MSC:11B39, 20N02, 06F35.
关键词：(generalized) Fibonacci sequences ; ( L 4 , LRL 2 , R 4 ) -groupoids ; d / BCK -algebra ; (pre-)idempotent ; Smarandache disjoint
