We introduce a weak order ideal property that suffices for establishing the Evans-Griffith Syzygy Theorem. We study this weak order ideal property in settings that allow for comparison between homological algebra over a local ring R versus a hypersurface ring R =R/(x^n). Consequently we solve some relevant cases of the Evans-Griffith syzygy conjecture over local rings of unramified mixed characteristic p, with the case of syzygies of prime ideals of Cohen-Macaulay local rings of unramified mixed characteristic being noted. We reduce the remaining considerations to modules annihilated by p^s, s>0, that have finite projective dimension over a hypersurface ring.
A model describes the effect of changes to the pore structure on the mechanical properties of semi-coke during coking. The gap tensile experiment makes it possible to determine the mechanical properties of the coke and semi-coke; a theoretical analysis is valid for the deformation of samples in the gap tensile test, by which the gap tensile strength of the coke can be determined, and by which a method for the simultaneous determination of the effective modulus of elasticity was developed. The effect of the pore structure on the mechanical properties is given in semi-empirical equations. The main point here is to check whether a pore in the coke can be regarded as a Griffith crack, and whether the interaction of pores can be neglected. A model which takes the pore distribution into account was also developed and tested. A model for the change of pore structure during coking, which includes the contraction of the semi-coke, and which presupposes a difference in ...