Let $I$ be a proper ideal of a commutative semiring $R$ and let $P(I)$ be the set of all elements of $R$ that are not prime to $I$. In this paper, we investigate the total graph of $R$ with respect to $I$, denoted by $T(Gamma_{I} (R))$. It is the (undirected) graph with elements of $R$ as vertices, and for distinct $x, y in R$, the vertices $x$ and $y$ are adjacent if and only if $x + y in P(I)...

We developed several novel tools to genome wide screen for CNVs and SNPs in single cells. When applied to cleavage stage embryos from young fertile couples we discovered, unexpectedly, an extremely high incidence of chromosomal instability, a hallmark of tumorigenesis (Vanneste et al., Nature Medicine, 2009; Vanneste et al., Hum.Reprod., 2011). Not only mosaicisms for whole chromosome aneuploid...

Let $A$ be a Noetherian ring, $I$ be an ideal of $A$ and $sigma$ be a semi-prime operation, different from the identity map on the set of all ideals of $A$. Results of Essan proved that the sets of associated prime ideals of $sigma(I^n)$, which denoted by $Ass(A/sigma(I^n))$, stabilize to $A_{sigma}(I)$. We give some properties of the sets $S^{sigma}_{n}(I)=Ass(A/sigma(I^n))setminus A_{sigma}(I...

i n m a n u f a c t u r i n g a c t i v i t i e s, i s s u e s s u c h a s t h e i n t e n s i t y o f c o m p e t i t i o n, r i s i n g a n d c h a n g i n g c u s t o m e r e x p e c t a t i o n s, a n d e v e r-i n c r e a s i n g t e c h n o l o g i c a l d e v e l o p m e n t s, i n t e n s i f y m a n u f a c t u r e r c o m m i t m e n t t o e l i m i n a t e d e f e c t s i n i t s p r...

background: the pathogenesis of nontypeable haemophilus influenzae (nthi) begins with adhesion to the rhinopharyngeal mucosa. almost 38-80% of nthi clinical isolates produce proteins that belong to the high molecular weight (hmw) family of adhesins, which are believed to facilitate colonization. methods: in the present study, the prevalence of hmwa, which encodes the hmw adhesin, was determined...