The core of a parallel processing system is the interconnection network by which the system’s processors are linked. Due to the great role played by the interconnection network’s topology in improving the parallel processing system’s performance, various topologies have been proposed in the literature. This paper proposes a new interconnection network topology, referred to as the chained-cubic ...

we introduce center-like subsets z*(r,f), z**(r,f) and z1(r,f), where r is a ring and f is a map from r to r. for f a derivation or a non-identity epimorphism and r a suitably-chosen prime or semiprime ring, we prove that these sets coincide with the center of r.

for an arbitrary ring $r$, the zero-divisor graph of $r$, denoted by $gamma (r)$, is an undirected simple graph that its vertices are all nonzero zero-divisors of $r$ in which any two vertices $x$ and $y$ are adjacent if and only if either $xy=0$ or $yx=0$. it is well-known that for any commutative ring $r$, $gamma (r) cong gamma (t(r))$ where $t(r)$ is the (total) quotient ring of $r$. in this...

let r be a prime ring with extended centroid c, h a generalized derivation of r and n ⩾ 1 a xed integer. in this paper we study the situations: (1) if (h(xy))n = (h(x))n(h(y))n for all x; y 2 r; (2) obtain some related result in case r is a noncommutative banach algebra and h is continuous or spectrally bounded.

Perfluoroalkyl acids (PFAAs) can be released to water bodies during manufacturing and application of PFAA-containing products. In this study, the contamination pattern, attenuation dynamics, sources, pathways, and risk zoning of PFAAs in surface and ground water was examined within a 10km radius from a mega-fluorochemical industrial park (FIP). Among 12 detected PFAAs, perfluorooctanoic acid (P...

a ring $r$ is a strongly clean ring if every element in $r$ is the sum of an idempotent and a unit that commutate. we construct some classes of strongly clean rings which have stable range one. it is shown that such cleanness of $2 imes 2$ matrices over commutative local rings is completely determined in terms of solvability of quadratic equations.

Plenty of approaches to stabilize chained nonholonomic systems have been proposed in the literature. However, the stabilization with constrained inputs is seldom addressed. This problem has practical importance since all physical nonholonomic systems have actuator limitations. In this article, a novel switching control design is proposed. The design strategy is inspired by the structural simila...

1. Hunt, D.L., et al., Effects of computer-based clinical decision support systems on physician performance and patient outcomes. JAMA, 1998. 280(15): p. 13391346. 2. Kuperman, G.J., et al., Medication-related clinical decision support in computerized provider order entry systems: a review.JAMIA, 2007. 14(1): p. 29-40. 3. Phansalkar, S., et al., A review of human factors principles for the desi...

Digital certificates (through the use of publickey cryptography) provide an entity the power to authenticate users even when the CA (Certification Authority) that issued the certificate is not on line. This authentication mechanism is widely used today in Virtual Organizations (VOs) to distribute the weight of the authentication. However, as shown in this paper, the use of public-key cryptograp...