We consider matrices over a ring K [∂; σ, θ ] of Ore polynomials over a skew field K . Since the Popov and Hermite normal forms are both Gröbner bases (for term over position and position over term ordering resp.), the classical FGLM-algorithm provides a method of converting one into the other. In this report we investigate the exact formulation of the FGLM algorithm for not necessarily “zero-d...

Abstract Let D be a finite-dimensional division algebra over its center and R = [ t ; ? , ? ] skew polynomial ring. Under certain assumptions on the ring of central quotients ( ) { f / g | ? ], C ])} is simple with reduced norm N . We calculate for some polynomials investigate when how reducibility reflects

in this paper we consider several generalizations of the skew t-normal distribution, and some of their properties. also, we represent several theorems for constructing each generalized skew t-normal distribution. next, we illustrate the application of the proposed distribution studying the ratio of two heavy metals, nickel and vanadium, associated with crude oil in shadgan wetland in the south-...

Tree driven mesh is gaining popularity as a viable method to distribute clock with minimum skew in Deep Sub Micron (DSM) technology. In the design of the leaf level mesh, the density of the mesh at various parts of the chip is a crucial factor which decides the clock skew and power dissipated in the mesh. We propose a capacitance driven mesh formation methodology which forms a minimum wire leng...

We identify the ring of odd symmetric functions introduced by Ellis and Khovanov as the space of skew polynomials fixed by a natural action of the Hecke algebra at q = −1. This allows us to define graded modules over the Hecke algebra at q = −1 that are ‘odd’ analogs of the cohomology of type A Springer varieties. The graded module associated to the full flag variety corresponds to the quotient...

An essential condition for the round beam mode operation at the VEPP-2000 storage ring is the zero betatron coupling in the arc between two Interaction Points. To comply with this requirement the closed orbit should be corrected and the proper skew quadrupole correction system must exist. This work presents the development of the dipole and skew quadrupole correction systems for VEPP-2000. The ...

In this paper convolutional codes with cyclic structure will be investigated. These codes can be understood as left principal ideals in a suitable skew-polynomial ring. It has been shown in [4] that only certain combinations of the algebraic parameters (field size, length, dimension, and Forney indices) can occur for such cyclic codes. We will investigate whether all these combinations can inde...

We study certain properties of derivations on semiprime rings. The main purpose is to prove the following result: let R be a semiprime ring with center Z(R), and let f , g be derivations of R such that f(x)x+xg(x) ∈ Z(R) for all x ∈ R, then f and g are central. As an application, we show that noncommutative semisimple Banach algebras do not admit nonzero linear derivations satisfying the above ...

In any high-speed digital circuit, problems like clock skew, transmission delays and off-chip communication are worrisome. Being particularly fast, GaAs technology is a good candidate for global clock free design. In this paper, a detailed analysis of several differential-type structures and C-elements, used to build self-timed delay-insensitive circuits, is carried out by HSPICE simulations in...