Results 11 to 20 of about 42,411 (276)
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
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On (quasi-)morphic property of skew polynomial rings
International Electronic Journal of Algebra, 2022 . The main objective of this paper is to study (quasi-)morphic property of skew polynomial rings. Let R be a ring, σ be a ring homomorphism on R and n ≥ 1. We show that R inherits the quasi-morphic property from R [ x ; σ ] / ( x n +1 ).
N. Dehghani
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Semifields from skew polynomial rings [PDF]
advg, 2013 Abstract Skew polynomial rings are used to construct finite semifields, following from a construction of Ore and Jacobson of associative division algebras. Johnson and Jha [10] constructed the so-called cyclic semifields, obtained using irreducible semilinear transformations.
LAVRAUW, MICHEL, SHEEKEY, JOHN FRANCIS
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Galois groups over rational function fields over skew fields
Comptes Rendus. Mathématique, 2020 Let $H$ be a skew field of finite dimension over its center $k$. We solve the Inverse Galois Problem over the field of fractions $H(X)$ of the ring of polynomial functions over $H$ in the variable $X$, if $k$ contains an ample field.
Alon, Gil +2 more
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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 +1 more
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BEBERAPA SIFAT IDEAL GELANGGANG POLINOM MIRING: SUATU KAJIAN PUSTAKA
Jurnal Matematika, 2012 Let R be a ring with identity 1 and s be an endomorphism of R and d be a left s - derivation . The skew polynomial ring over R in an indeterminate x is: R[x;s ,d ] = { f (x) = anxn +L+ a0 | ai Î R} with xa =s (a)x +d (a) The aim of this research is to ...
AMIR KAMAL AMIR
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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
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Türetim ile Z_(2^s )+uZ_(2^s ) Halkası Üzerinde Aykırı Devirli Kodlar
Journal of Advanced Research in Natural and Applied Sciences, 2022 Kodlama teorisinde, lineer kodların özel bir sınıfı olan devirli kodlar ile ilgili araştırmalar büyük ilgi görmektedir. Bu ilginin en önemli nedenlerinden bazıları devirli kodların zengin cebirsel özelliklere sahip olmaları, birçok uygulama alanlarının ...
Basri Çalışkan
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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
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The eigenspaces of twisted polynomials over cyclic field extensions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Let K be a field and σ an automorphism of K of order n. Employing a nonassociative algebra, we study the eigenspace of a bounded skew polynomial f ∈ K[t; σ].
Owen Adam, Pumplün Susanne
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