When the ground ring is a field, the notion of algebraic topological model (AT-model) is a useful tool for computing (co)homology, representative (co)cycles of (co)homology generators and the cup product on cohomology of nD digital images as well as for controlling topological information when the image suffers local changes [6, 7, 9]. In this paper, we formalize the notion of λ-AT-model (λ bei...

A finite group G is said to have the nilpotent decomposition property (ND) if for every element α of integral ring Z[G] one has that αe also belong Z[G], primitive central idempotent e rational algebra Q[G]. Results Hales, Passi and Wilson, Liu Passman show this fundamental in investigations multiplicative Jordan rings. If all its subgroups ND then showed SSN, is, H, Y N G, N◁H Y⊆H N⊆Y or YN no...

The complex off-diagonal components of conductivity tensor (g:, = 4, + i<,) of Co, a-Nd-Co and a-Y-Co was obtained by measuring magneto-optical Kerr effects, reflectivity and transmissivity in the range of fw = 0.8 eV 5eV. Nd-Co showed much greater wcr;, than Y-Co and the difference was deduced to be due to 4f T--t 5d 1. electron transition of Nd.

This work studied the effect of additions of carbon dioxide to argon shielding gas on the weld shape and microstructure of ST14 steel in pulsed Nd: YAG laser welding. By additions of carbon dioxide up to 15%,the weld area and depth/width ratio decreases while rising of carbon dioxide up to 25% causes increasing of weld area and depth/width ratio. It is observed that the weld metal microstructur...

We discuss the construction of a ground state wavefunction on a finite ring given the ground state on a long chain. In the presence of local symmetries, we can obtain the ground state with arbitrary flux inserted through the ring. A key ingredient are the quantum numbers of the entanglement spectrum. This method allows us to characterize phases by measuring quantized responses, such as the Hall...

A A Add dr dress for Co Co orr rr rres spo po p nd nd nden en ence ce ce: : :

The reaction of Ln(L)N''2 (Ln = Nd, Ce; L = t-BuNCH2CH2[C{NCHCHNt-Bu}], N'' = N(SiMe3)2) with trimethylsilyl iodide regiospecifically functionalises the carbene backbone at the C4-carbene ring position to afford the silylated complex Ln(L')N''I; Ln(L')N''2 is isolated after attempted reduction (L' = t-BuNCH2CH2[C{NC(SiMe3)CHNt-Bu}]) which allows a comparison of the structurally characterised co...

The effects of irradiation with 17 MeV electron beams and “‘Co y-rays on the magnetic flux of Nd-Fe-B and Sm-Co permanent magnets have been studied. At an electron dose of 2.1 X 10d3 C/cm’ (at an absorbed dose of 2.6 MGy), the magnetic flux loss of Nd-Fe-B is 9%, while the flux loss of Sm-Co is below 0.4% at a dose of 1.4 X 10B3 C/cm’. After remagnetization of the irradiated Nd-Fe-B sample the ...