Results 11 to 20 of about 431 (234)
Linear codes and cyclic codes over finite rings and their generalizations: a survey
Electronic Journal of Graph Theory and Applications, 2023 We survey a recent progress of cyclic codes over finite rings and their generalization to skew cyclic as well as skew cyclic codes with derivation over finite rings, focusing on structural properties of the codes.
Djoko Suprijanto
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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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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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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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Centrally Extended Jordan (∗)-Derivations Centralizing Symmetric or Skew Elements
Axioms, 2023 Let A be a non-commutative prime ring with involution ∗, of characteristic ≠2(and3), with Z as the center of A and Π a mapping Π:A→A such that [Π(x),x]∈Z for all (skew) symmetric elements x∈A.
Amal S. Alali +2 more
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Derivations of skew polynomial rings
Publications de l'Institut Mathematique, 2002 Let \(R\) be a commutative ring of characteristic zero, \(d_1,d_2,\dots,d_n\) commuting derivations of \(R\), and \(A_n=R[X_1,X_2,\dots,X_n;d_1,d_2,\dots,d_n]\) a skew polynomial ring in commuting variables \(X_1,X_2,\dots,X_n\) over \(R\). The authors describe derivations of \(A_n\) and examine the lattice of its ideals, under certain conditions.
Hamaguchi, Naoki, Nakajima, Atsushi
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On the Semisimplicity of Skew Polynomial Rings [PDF]
Proceedings of the American Mathematical Society, 1984 Let R R be a ring satisfying the maximal condition on annihilator left ideals and σ \sigma be an automorphism of R R . We show that the Jacobson radical of the skew polynomial ring R σ [ x ] {R_\sigma }[x ...
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Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings
International Journal of Mathematics and Mathematical Sciences, 2008 We first study connections between α-compatible ideals of R and related ideals of the skew Laurent polynomials ring R[x,x−1;α], where α is an automorphism of R.
E. Hashemi
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Some Notes on Semiabelian Rings
International Journal of Mathematics and Mathematical Sciences, 2011 It is proved that if a ring R is semiabelian, then so is the skew polynomial ring R[x;σ], where σ is an endomorphism of R satisfying σ(e)=e for all e∈E(R). Some characterizations and properties of semiabelian rings are studied.
Junchao Wei, Nanjie Li
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Derivations of Skew Polynomial Rings
Journal of Algebra, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Osborn, J.M., Passman, D.S.
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