The cross-characteristic permutation modules for the actions of the finite classical groups on singular 1-spaces of their natural modules are studied. The composition factors and submodule lattices are determined.

Altered brain morphometry has been widely acknowledged in chronic pain, and recent studies have implicated altered network dynamics, as opposed to properties of individual brain regions, in supporting persistent pain. Structural covariance analysis determines the inter-regional association in morphological metrics, such as gray matter volume, and such structural associations may be altered in c...

We present the architecture of a processor chip to be fabricated in digital VLSI-technology which computes the function of a configurable spiking neuron model. The chip is a submodule of the MASPINN-System (Memory Optimized Accelerator for Spiking Neural Networks). The MASPINN-System is designed as a PCI-accelerator-board for real-time simulation of very complex networks of spiking neurons in t...

Let be a ring with identity. Recall that submodule of left -module is called strongly essential if for any nonzero subset , there such i.e., . This paper introduces class submodules se-closed, where se-closed it has no proper extensions inside We show by an example the intersection two may not se-closed. say module have se-Closed Intersection Property, briefly se-CIP, every again in Several cha...

We provide an upper bound of the dimension of the maximal projective submodule of the Lie module of the symmetric group of n letters in prime characteristic p, where n = pk with p k.

Nuclear pore complexes (NPCs) influence gene expression besides their established function in nuclear transport. The TREX-2 complex localizes to the NPC basket and affects gene-NPC interactions, transcription, and mRNA export. How TREX-2 regulates the gene expression machinery is unknown. Here, we show that TREX-2 interacts with the Mediator complex, an essential regulator of RNA Polymerase (Po...

Let R be a commutative ring with identity and let M unitary R-module. In this paper, we introduce the notion of weakly S-2-absorbing submodule. Suppose that S is multiplicatively closed subset R. A submodule P (P:R M)∩S=∅ said to if there exists an element s ∈ such whenever a,b∈R m∈M 0≠abm∈P, then sab∈(P: M) or sam∈P sbm∈P. We give characterizations, properties examples submodules.