Partial Galois extensions were recently introduced by Doku-chaev, Ferrero and Paques. We introduce partial Galois extensions for noncommutative rings, using the theory of Galois corings. We associate a Morita context to a partial action on a ring.

Let M be a simply connected complex submanifold of C . We prove that M is irreducible, up a totally geodesic factor, if and only if the normal holonomy group acts irreducibly. This is an extrinsic analogue of the well-known De Rham decomposition theorem for a complex manifold. Our result is not valid in the real context, as it is shown by many counter-examples.

We derive lower bounds on the maximum-squaredcorrelation (MSC) of binary antipodal signature sets for any number of signatures K and any signature length L with K ≤ L (underloaded systems). We establish the tightness of the bounds for all cases except K = L ≡ 1 (mod 4) and we prove that the minimum total-squared-correlation (TSC) binary antipodal signature sets that were recently designed are, ...

Since their inception, social networking sites (SNSs) have experienced exponential growth. While substantial research has been dedicated to users’ initial adoption of SNSs, the fall of MySpace reminds us that the long-term success of SNSs depends on users’ post adoption staying power. Inspired by this, this work-in-progress investigates users’ “stickiness” with a specific SNS. Based on Li et al...

A completely primary finite ring is a ring R with identity 1 = 0 whose subset of all its zero divisors forms the unique maximal ideal J . Let R be a commutative completely primary finite ring with the unique maximal ideal J such that J3 = (0) and J2 = (0). Then R/J ∼= GF(pr) and the characteristic of R is pk, where 1≤ k ≤ 3, for some prime p and positive integer r. Let Ro =GR(pkr , pk) be a Gal...

A gas permeation model (Coupling Model) has been developed which has the flexibility to be used for different membrane module configurations. The aim of this work is to predict the performance of a single stage gas separation process using membranes and provide a comprehensive description of process parameters like flow rates, composition, stage cut and stream pressure. The significant feature ...

Gas exchange, bubble formation and elimination, and compression-decompression in blood and tissues are governed by many factors, such as diffusion, perfusion, phase separation and equilibration, nucleation and cavitation, local fluid shifts, and combinations thereof. Owing to the complexity of biological systems, multiplicity of tissues and media, diversity of interfaces and boundary conditions...

1 Synchronous Up/Down Counter with Period Independent of Counter Size Mircea R. Stan, Wayne P. Burleson [email protected] Abstract| The theory and practice of up-only (or downonly) prescaled counters is well understood both in industry and in the academia but until now it was not known if the design of a prescaled up/down binary counter is possible. This paper presents the theory behind...