Note that if ∑ agg ∈ I, then ∑ ag = 0 so that ∑ agg = ∑ agg− ∑ ag1 = ∑ ag(g−1), so that every element in I is a Z-linear combination of the elements g− 1 (g ∈ G, g 6= 1). Also, if ∑ ag(g− 1) = 0, it follows that ag = 0 for all g so that the elements g − 1 (g ∈ G, g 6= 1) are linearly independent. (b) Notice that the ideal generated by the elements s− 1 (s ∈ S) is the same as the ideal generated...

truction combined with measures such as the improvement of dwelling houses and the better storage of grain to lessen the rat population? Admittedly the I M. S is merely advisory in such matters, but for what it is worth I venture to express the following opinions, viz. (i) That in years to come it will be recognised that the one and only method of dealing successfully with Bubonic Plague is rig...

A study of the magnetic behaviour polycrystalline thin films as a function their thickness is presented in this work. The grain volume was kept approximately constant virtual samples. model includes exchange interaction, magneto-crystalline anisotropy, surface boundary dipolar and Zeeman effect. thickness-dependence critical temperature, blocking irreversibility temperature are presented. Surfa...

With the entry into force of Decree Government Russian Federation on traceability grain, agricultural producers are obliged to promptly enter data grain harvested from fields and place its storage information system. For guaranteed entry, it is proposed implement, in parallel with existing procedure, a receipt accounting system based tracking geolocation reloading combine vehicles for transport...