Pseudo-Galois extensions are shown to be depth two extensions. Studying its left bialgebroid, we construct an enveloping Hopf algebroid for the semi-direct product of groups or involutive Hopf algebras and their module algebras. It is a type of cofibered sum of two inclusions of the Hopf algebra into the semi-direct product and its derived right crossed product. Van Oystaeyen and Panaite observ...

That is, U is the range of the sequence (un)n>o. In this paper, we look at the set G(u) D N . Certainly, U C G(u) D N C N . It is easy to see that the extreme cases of the above inclusions can occur in some non-trivial instances. For example, if un = n\ for all n > 0, then m = um/um-i for all ra > 1, therefore G(u) = N . However, if (un)n>o is an arithmetical progression of first term 1 and dif...

For discrete inclusions in Banach spaces we study stability questions. First it is shown that the Bohl exponent of a time-varying discrete time system can be characterized via the spectral radius of an associated operator on the space of p-th order summable sequences. The main result is that for discrete inclusions on a reeexive Banach space various characteristic exponents characterizing diier...

In this paper we consider an inverse boundary value problem of determining three dimensional unknown inclusions in an elliptic equation in a bounded domain Ω ⊂ R3 from finite boundary measurements on ∂Ω. We will show that polyhedral inclusions in Ω can be uniquely determined up to their convex edges from a single boundary measurement on ∂Ω.

We investigate in this manuscript the existence of solution for two fractional differential inclusions. At first we discuss the existence of solution of a class of fractional hybrid differential inclusions. To illustrate our results we present an illustrative example. We study the existence and dimension of the solution set for some fractional differential inclusions.

We report three cases of leiomyoma of the gastrointestinal tract with intracytoplasmic inclusion bodies similar to those characteristic of inclusion body fibromatosis (IBF). The first two cases represent leiomyoma of the stomach: one in a 70-year-old female and the other in a 72-year-old female. In both instances inclusion bodies were present in a large amount. In the third case the leiomyoma w...

background: recombinant proteins overexpressed in e. coli are usually deposited in inclusion bodies. cysteines in the protein contribute to this process. inter- and intra- molecular disulfide bonds in chitinase, a cysteine-rich protein, cause aggregation when the recombinant protein is overexpressed in e. coli. hence, aggregated proteins should be solubilized and allowed to refold to obtain nat...

We have performed modeling of fluorescence signals from inclusions inside turbid media to investigate the influence of a limited fluorescence contrast and how accurately the depth can be determined by using the spectral information. The depth was determined by forming a ratio of simulated fluorescence intensities at two wavelengths. The results show that it is important to consider the backgrou...