Results 1 to 10 of about 11,627 (129)

Semifields from skew polynomial rings [PDF]

advg, 2012
Skew polynomial rings were used to construct finite semifields by Petit in 1966, following from a construction of Ore and Jacobson of associative division algebras.
Lavrauw, Michel, Sheekey, John
core   +7 more sources

Skew Polynomial Extensions over Zip Rings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2008
In this article, we study the relationship between left (right) zip property of 𝑅 and skew polynomial extension over 𝑅, using the skew versions of Armendariz rings.
Wagner Cortes
doaj   +3 more sources

Nilpotent graphs of skew polynomial rings over non-commutative rings [PDF]

Transactions on Combinatorics, 2020
Let $R$ be a ring and $\alpha$ be a ring endomorphism of $R$‎. ‎The undirected nilpotent graph of $R$‎, ‎denoted by $\Gamma_N(R)$‎, ‎is a graph with vertex set $Z_N(R)^*$‎, ‎and two distinct vertices $x$ and $y$ are connected by an edge if and only if ...
Mohammad Javad Nikmehr, Abdolreza Azadi
doaj   +1 more source

Some interactions between Hopf Galois extensions and noncommutative rings

Universitas Scientiarum, 2022
In this paper, our objects of interest are Hopf Galois extensions (e.g., Hopf algebras, Galois field extensions, strongly graded algebras, crossed products, principal bundles, etc.) and families of noncommutative rings (e.g., skew polynomial rings, PBW ...
Armando Reyes, Fabio Calderón
doaj   +1 more source

The VIT Transform Approach to Discrete-Time Signals and Linear Time-Varying Systems

Eng, 2021
A transform approach based on a variable initial time (VIT) formulation is developed for discrete-time signals and linear time-varying discrete-time systems or digital filters.
Edward W. Kamen
doaj   +1 more source

Skew-cyclic codes [PDF]

, 2006
We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew polynomial rings are left and right euclidean, the obtained codes share most properties of cyclic codes.
Boucher, Delphine, Geiselmann, Willi, Ulmer, Félix   +2 more
core   +4 more sources

A Survey on Some Algebraic Characterizations of Hilbert’s Nullstellensatz for Non-commutative Rings of Polynomial Type

Ingeniería y Ciencia, 2020
In this paper we present a survey of some algebraic characterizations of Hilbert’s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of this theorem for the skew ...
Armando Reyes, Jason Hernández-Mogollón   +1 more
doaj   +1 more source

Generalized Skew Polynomial Rings [PDF]

Transactions of the American Mathematical Society, 1982
For a totally ordered cancellative semigroup Γ \Gamma , a skew field K K , let K [ Γ ; ϕ ] K[\Gamma ;\phi ] be a skew semigroup ring. If x ∈ Γ , k ∈ K x \in \Gamma ,\,k \in K , then
openaire   +1 more source

Ore and Goldie theorems for skew PBW extensions [PDF]

, 2013
Many rings and algebras arising in quantum mechanics can be interpreted as skew PBW (Poincar\'e-Birkhoff-Witt) extensions. Indeed, Weyl algebras, enveloping algebras of finite-dimensional Lie algebras (and its quantization), Artamonov quantum polynomials,
Acosta, Juan Pablo, Chaparro, Cristian, Lezama, Oswaldo, Ojeda, Ingrid, Venegas, César   +4 more
core   +1 more source

Radicals of skew polynomial rings and skew Laurent polynomial rings

Journal of Algebra, 2011
In this paper, \(R\) denotes an associative ring with identity, and \(\sigma\) stands for an automorphism of \(R\). \(W(R)\), \(L(R)\) and \(N(R)\) denote the Wedderburn radical, the Levitzki radical and the upper nil radical of \(R\), respectively. An ideal \(I\) of \(R\) is called a \(\sigma\)-ideal if \(\sigma(I)\subseteq I\).
Hong, Chan Yong, Kim, Nam Kyun, Lee, Yang   +2 more
openaire   +2 more sources