Let $${\cal M}$$ be an n-cluster tilting subcategory of mod-Λ, where Λ is Artin algebra. S}({\cal M})$$ denote the full S}(\Lambda )$$ , submodule category Λ, consisting all monomorphisms in . We construct two functors from to $$\bmod - \underline {\cal M} $$ finitely presented additive contravariant on stable show that these are full, dense and objective hence provide equivalences between quot...

We prove a generalization of the Hochster-Roberts-Boutot-Kawamata Theorem conjectured in [1]: let R → S be a pure homomorphism of equicharacteristic zero Noetherian local rings. If S is regular, then R is pseudo-rational, and if R is moreover Q-Gorenstein, then it is pseudo-log-terminal.

Let K be a perfect field of characteristic p > 0, A1 := K〈x, ∂ | ∂x−x∂ = 1〉 be the first Weyl algebra and Z := K[X := x, Y := ∂] be its centre. It is proved that (i) the restriction map res : AutK(A1) → AutK(Z), σ 7→ σ|Z , is a monomorphism with im(res) = Γ := {τ ∈ AutK(Z) | J (τ) = 1} where J (τ) is the Jacobian of τ (note that AutK(Z) = K ∗ ⋉ Γ and if K is not perfect then im(res) 6= Γ); (ii)...

We study the Floquet Hamiltonian −i∂t + H + V (ωt), acting in L([ 0, T ],H, dt), as depending on the parameter ω = 2π/T . We assume that the spectrum of H in H is discrete, Spec(H) = {hm}m=1, but possibly degenerate, and that t 7→ V (t) ∈ B(H) is a 2π-periodic function with values in the space of Hermitian operators on H. Let J > 0 and set Ω0 = [ 89J, 98J ]. Suppose that for some σ > 0 it holds...

The case for a recent expansion of modern humans from Africa has been strengthened by the finding of monomorphism in part of a Y-linked gene, consistent with the low variability seen in human mitochondrial DNAs.

a r t i c l e i n f o Keywords: Intermediate-temperature fuel cells Cesium hydrogen phosphate Silicon pyrophosphate Proton conduction Effective medium approximation As an electrolyte for intermediate-temperature fuel cells (ITFCs), which are operative at 200 °C to 300 °C, a composite electrolyte CsH 5 (PO 4) 2 /SiP 2 O 7 has been investigated. The CsH 5 (PO 4) 2 /SiP 2 O 7 composite is reported...

The paper studies ways in which the sets of a partition of a lattice in Rn become regular model sets. The main theorem gives equivalent conditions which assure that a matrix substitution system on a lattice in Rn gives rise to regular model sets (based on p-adic-like internal spaces), and hence to pure point diffractive sets. The methods developed here are used to show that the n−dimensional ch...

Nutrient and oxygen supply of cells are crucial to tissue engineering in general. If a sufficient supply cannot be maintained, the development of the tissue will slow down or even fail completely. Previous studies on oxygen supply have focused on measurement of oxygen partial pressures (pO(2)) in culture media or described the use of invasive techniques with spatially limited resolution. The ex...