abstract in this paper, we study the generalized order- jacobsthal sequences modulo for and the generalized order-k jacobsthal-padovan sequence modulo for . also, we define the generalized order-k jacobsthal orbit of a k-generator group for and the generalized order-k jacobsthal-padovan orbit a k-generator group for . furthermore, we obtain the lengths of the periods of the generalized order-3 ...

in this paper the notion of rees short exact sequence for s-posets is introduced, and we investigate the conditions for which these sequences are left or right split. unlike the case for s-acts, being right split does not imply left split. furthermore, we present equivalent conditions of a right s-poset p for the functor hom(p;-) to be exact.

in this article, we show the existence of certain exact sequences with respect to two homology theories, called d-homology and extended d-homology. we present sufficient conditions for the existence of long exact extended d- homology sequence. also we give some illustrative examples.

The notion of b -regular sequences was extended to linear recurring bases by Allouche, Scheicher and Tichy in 2000, abstract numeration systems Maes Rigo 2002. Their definitions are based on a S -kernel that extends -kernel. However, these do not allow us generalize all the many characterizations sequences. In this paper, we present an alternative definition -kernel, hence sequences, which enab...

tropical theileriosis is a tick-transmitted disease which caused by obligative intracellular protozoan theileria annulata. diagnosis is usually based on identification of parasite in giemsa stained smears of peripheral blood, spleen or lymph nodes. today, the molecular methods with high sensitivity and specificity are used for diagnosis of infected and carrier animals, epidemiological and phylo...