in this paper, we give connection between the order of the generalized baer-invariant of a pair of finite groups and its factor groups, when ? is considered to be the specific variety. moreover, we give a necessary and sufficient condition in which the generalized baer-invariant of a pair of groups can be embedded into the generalized baer-invariant of pair of its factor groups.

In this paper, we present a detailed overview of StrandCast, an application-layer multicast protocol for stretch invariant applications. StrandCast’s distribution topology is a linear list of participating receivers, which we call a strand. We describe three benefits that StrandCast has over traditional application-layer multicast topologies. The first is low and constant stress levels. The sec...

The current inversion of pressure-particle velocity data for release from a high-pressure shock state to a pressure-density path usually depends critically upon the assumption that the release process is isentropic. It has been shown by Kieffer and Delaney that for geological materials below stresses of --. 150 GPa, the effective viscosity must be •103 kg m -• s -• (10 • P) in order that the vi...

In this paper, a notion of invariant Galerkin-variational weak forms is proposed. Two speci c invariant variational weak forms, the J -invariant and the L-invariant, are constructed based on the corresponding conservation laws in elasticity, one of which is the conservation of Eshelby’s energy-momentum (Eshelby, Philos. Trans. Roy. Soc. 1951; 87:12; In Solid State Physics, Setitz F, Turnbull D ...

We present a new approach for constructing data-driven subgrid stress models large eddy simulation of turbulent flows. The key to our is representation model input and output tensors in the filtered strain rate eigenframe. Provided inputs outputs are selected non-dimensionalized suitable manner, this yields form that symmetric, Galilean invariant, rotationally reflectionally unit invariant. use...

A ring $R$ with an automorphism $sigma$ and a $sigma$-derivation $delta$ is called $delta$-quasi-Baer (resp., $sigma$-invariant quasi-Baer) if the right annihilator of every $delta$-ideal (resp., $sigma$-invariant ideal) of $R$ is generated by an idempotent, as a right ideal. In this paper, we study Baer and quasi-Baer properties of skew PBW extensions. More exactly, let $A=sigma(R)leftlangle x...