the development of green approaches for the biosynthesis of silver nanoparticles (agnps) is of prime significance in the field of nanotechnology research. a fast and eco-friendly protocol for the biosynthesis of extracellular agnps using culture supernatant (cs) from the fungus cunninghamella phaeospora was studied in this work. this cs was proved as a potential new source for the extracellular...

The mass relation $${M_{0^{+}}+3M_{1^{+\prime }}+5M_{2^{+}}= 9M_{1^{+}}}$$ miraculously holds for the P-wave charmonium $$(c\bar{c})$$ and bottomonium $$(b\bar{b})$$ systems with soaring precision. origin of such can be addressed from Quark Models, have been confirmed experimentally in a limited number cases. In this connection, we propose $$M_{0^{+}}+5M_{2^{+}}=3(M_{1^{+\prime }}+M_{1^{+}})$$ ...

We define minimal atomic complexes and irreducible complexes, and we prove that they are the same. The irreducible complexes admit homological characterizations that make them easy to recognize. These concepts apply both to spaces and to spectra. On the spectrum level, our characterizations allow us to show that such familiar spectra as ko, eo2, and BoP at the prime 2, all BP 〈n〉 at any prime p...

In this paper we attempt to find and investigate the most general class of posets which satisfy a properly generalized version of the Hofmann-Mislove theorem. For that purpose, we generalize and study some notions (like compactness, the Scott topology, Scott open filters, prime elements, the spectrum etc.), and adjust them for use in general posets. Then we characterize the posets satisfying th...

Let E be a ring spectrum for which the E-Adams spectral sequence converges. We define a variant of Mahowald’s root invariant called the ‘filtered root invariant’ which takes values in the E1 term of the E-Adams spectral sequence. The main theorems of this paper concern when these filtered root invariants detect the actual root invariant, and explain a relationship between filtered root invarian...

The ideal I1 generated by the 2× 2 quantum minors in the coordinate algebra of quantum matrices, Oq(Mm,n(k)), is investigated. Analogues of the First and Second Fundamental Theorems of Invariant Theory are proved. In particular, it is shown that I1 is a completely prime ideal, that is, Oq(Mm,n(k))/I1 is an integral domain, and that Oq(Mm,n(k))/I1 is the ring of coinvariants of a coaction of k[x...

We give a mass formula for computing the mass spectrum of mesons. By this formula we show that there are many mesons with their masses corresponding to a prime number. In particular we show that all strange mesons are with their masses corresponding to a prime number. With these prime numbers indexing the mesons we give a classification of mesons. We set up a knot model of mesons to derive this...

We consider a Deligne–Mumford stack $X$ which is the quotient of an affine scheme $\operatorname {Spec}A$ by action finite group $G$ and show that Balmer spectrum tensor triangulated category perfect complexes on homeomorphic to space homogeneous prime ideals in cohomology ring $H^*(G,A)$ .

The development of green approaches for the biosynthesis of silver nanoparticles (AgNPs) is of prime significance in the field of nanotechnology research. A fast and eco-friendly protocol for the biosynthesis of extracellular AgNPs using culture supernatant (CS) from the fungus Cunninghamella phaeospora was studied in this work. This CS was proved as a potential new source for the extracellular...