A skew morphism of a finite group B is permutation φ that preserves the identity element and has property for every ∈ there exists positive integer ia such φ(ab) = φ(a)φia(b) all b B. The problem classifying morphisms cyclic groups notoriously hard, with no classification available up to date. Each Zn closely related specific Z|⟨φ⟩|, called quotient φ. In this paper, we use relationship other o...

We study the anomalous Hall conductivity in spin-polarized, asymmetrically confined two-dimensional electron and hole systems, taking into account the intrinsic, side-jump, and skew-scattering contributions to the transport. We find that the skew scattering, principally responsible for the extrinsic contribution to the anomalous Hall effect, vanishes for the two-dimensional electron system if b...

We intraduce the n-dimensional key equation, which exhibitsthe error-locator polynomial of an n-dimensional cyclic code as a productof n univariate polynomials and the error-evaluator polynomial as an n-variable polynomial. We then reinterpret these polynomials in the contextof linear recurring sequences. In particular, we reduce the decodingproblem to successive application...

Fast computation of two-dimensional (2-D) generalized discrete Fourier transforms (GDFTs) and generalized discrete Hartley transforms (GDHTs) are discussed in terms of a new method which is derived based on index permutation, linear congruences, and polynomial transforms. Further, the 2-D skew circular convolution computed by the proposed skew polynomial transform is also included. ( 2000 Elsev...

In this paper, the possibility of obtaining certain decompositions with finite-dimensional intersection, for a given complete two-dimensional behavior, are fully investigated and related to the factor skew-primeness property of suitable matrix pairs, involved in the behavior description. The analysis carried on here leads to an extension of the results about direct sum decompositions presented ...

let $d$ be a digraph with skew-adjacency matrix $s(d)$‎. ‎the skew‎ ‎energy of $d$ is defined as the sum of the norms of all‎ ‎eigenvalues of $s(d)$‎. ‎two digraphs are said to be skew‎ ‎equienergetic if their skew energies are equal‎. ‎we establish an‎ ‎expression for the characteristic polynomial of the skew‎ ‎adjacency matrix of the join of two digraphs‎, ‎and for the‎ ‎respective skew energ...

Two digraphs of same order are said to be skew-equienergetic if their skew energies are equal. One of the open problems proposed by Li and Lian was to construct non-cospectral skew-equienergetic digraphs on n vertices. Recently this problem was solved by Ramane et al. In this  paper, we give some new methods to construct new skew-equienergetic digraphs.