It is known that (Z×Z) is a semigroup with respect to addition, and it can
be endowed with the discrete topology; where Z is the set of integers. We can
make β(Z×Z), the Stone –Cech compactification of (Z×Z), a right –
topological semi group (Baker & Butcher).
In this paper, we find distributional solutions of boundary value
problems in Sobolev spaces. This solution will be given as Fourier
series with respect to the Eigen functions of a positive definite
operator and its square roots.
Then, we obtain solutions of such problems of a real order.
The research was performed by isolating some species of soil- fungi from agricultural soils
handling with different pesticides and fungicides. Where the following fungi were isolated:
Aspergillus niger (The isolates A1 and A2), Fusarium oxysporum (
The isolate F),
Trichoderma harzianum (The isolate T). Also F. solani (The isolate F7) and T. viride (The
isolate T.v) were used, whereas they were taken from high studies laboratory- Science
Faculty- Tishreen University at a previous search.
The research was conducted to assay the ability of the previous fungi to degradation a
number of pesticides, the insecticide "Dolan", the insecticide "Plantocide", the nematicide
"Vydate" and the fungicide "Bayfidan", through the effect of double dose of each
pesticides in the biomass of the studied fungi on PDB medium. In addition to analysis the
results residues of pesticides using Spectrophotometer, and evaluation the pH values.
Enterobacter sakazakii is considered an opportunistic pathogen that has
been associated with severe lethal infections especially in neonates, elderly, and
Immunocompromised adults. E. sakazakii is a Gram negative, facultative
anaerobes rod-shaped
bacterium. It belongs to the family Enterobacteriaceae
and genus Enterobacter.
Although we don’t know the natural habitat of this bacteria we find that it
exists in high rate in herbs and spices which indicates that plant may be this
natural habitat.
The objective of this studying is the important answer on the following open question : Let G and G' be two fuzzy groups and L(G), L(G') be lattices for them, respectively,
We have shown that this statement don’t true in the case general, and we sup
pose some certain conditions on the purposed groups to be the statement holds. Moreover, some important theorems are proved