Results 31 to 40 of about 11,627 (129)

Skew polynomial rings over σ-skew Armendariz rings

Cogent Mathematics, 2016
This article concerns skew polynomial rings over Armendariz rings and σ-skew Armendariz ring. Let R be a Noetherian, Armendariz, prime ring. In this paper we prove that R and the polynomial ring R[x] are 2-primal. Further we prove that if σ is an endomorphism of a ring R, then (1) R is a σ-skew Armendariz ring implies that R[x;σ] is a σ¯-skew ...
V.K. Bhat, Meeru Abrol
openaire   +1 more source

Quantum Drinfeld Hecke Algebras

, 2013
We consider finite groups acting on quantum (or skew) polynomial rings. Deformations of the semidirect product of the quantum polynomial ring with the acting group extend symplectic reflection algebras and graded Hecke algebras to the quantum setting ...
Anne V. Shepler, Bueso, Drinfeld, Green, Greuel, Levandovskyy, Li, McConnell, Passman, Viktor Levandovskyy   +9 more
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Hochschild cohomology and quantum Drinfeld Hecke algebras [PDF]

, 2014
Quantum Drinfeld Hecke algebras are generalizations of Drinfeld Hecke algebras in which polynomial rings are replaced by quantum polynomial rings.
Naidu, Deepak, Witherspoon, Sarah
core  

1.School of Mathematics and Statistics， Nanjing University of Information Technology， Nanjing 210044， China； 2. School of Information Engineering， Nanjing Xiaozhuang University， Nanjing 211171， China）*-nil McCoy ring(*-诣零McCoy环)

Zhejiang Daxue xuebao. Lixue ban
We study the properties of McCoy rings with a doubly mapping, give some examples of this class rings, investigate their extensions and the *-nil McCoy property of *-skew polynomial rings.
王尧(WANG Yao), 李欣(LI Xin), 任艳丽(REN Yanli)   +2 more
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Reversible DNA codes using skew polynomial rings [PDF]

Applicable Algebra in Engineering, Communication and Computing, 2017
In this study we determine the structure of reversible DNA codes obtained from skew cyclic codes. We show that the generators of such DNA codes enjoy some special properties. We study the structural properties of such family of codes and we also illustrate our results with examples.
Gürsoy, Fatmanur, Öztaş, Elif Segah, Siap, İrfan   +2 more
openaire   +6 more sources

Realization of Proper Nonlinear Systems and Its Application to the Disturbance Observer for Van der Pol Oscillator

IEEE Access
Control systems can be represented using either higher-order input-output differential equations or state-space representations, depending on the control problem being addressed.
Miroslav Halas, Martin Dodek
doaj   +1 more source

Sparse multivariate polynomial interpolation in the basis of Schubert polynomials

, 2016
Schubert polynomials were discovered by A. Lascoux and M. Sch\"utzenberger in the study of cohomology rings of flag manifolds in 1980's. These polynomials generalize Schur polynomials, and form a linear basis of multivariate polynomials.
Mukhopadhyay, Priyanka, Qiao, Youming
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A Koszul complex over skew polynomial rings [PDF]

Communications in Algebra, 2019
We construct a Koszul complex in the category of left skew polynomial rings associated to a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence.
Álvarez Montaner, Josep, Boix, Alberto F., Zarzuela Armengou, Santiago   +2 more
openaire   +5 more sources

Basic Module Theory over Non-Commutative Rings with Computational Aspects of Operator Algebras

, 2013
The present text surveys some relevant situations and results where basic Module Theory interacts with computational aspects of operator algebras. We tried to keep a balance between constructive and algebraic aspects.Comment: To appear in the Proceedings
A. Kandri-Rody, A. Leroy, A. Quadrat, B. Beckermann, B. Strenström, D. Andres, D. Grigoriev, D. Robertz, F. Chyzak, F. Chyzak, F.W. Anderson, G. Bergman, H. Gluesing-Luerssen, J. Apel, J. Apel, J. Gómez-Torrecillas, J. Gómez-Torrecillas, J. Gómez-Torrecillas, J. Gómez-Torrecillas, J.-E. Björk, J.C. McConnell, J.E. Björk, J.L. Bueso, J.L. Bueso, J.L. Bueso, J.L. Bueso, J.L. Bueso, J.L. Bueso, L. Robbiano, M. Barakat, M. Bronstein, M. Giesbrecht, M. Giesbrecht, M. Hazewinkel, M. Hoeij Van, M. Put Van der, M. Saito, M.A. Barkatou, M.F. Singer, N. Jacobson, N. Jacobson, N. Jacobson, O. Lezama, P.J. Hilton, R.C. Churchill, T. Cluzeau, T. Mora, T. Mora, V. Levandovskyy, V. Levandovskyy, V. Levandovskyy, V. Weispfenning, V.P. Gerdt, W. Adams, Ø. Ore   +54 more
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On Nilpotent Elements of Skew Polynomial Rings

Journal of Mathematical Extension, 2012
We study the structure of the set of nilpotent elements in skew polynomial ring R[x; α], when R is an α-Armendariz ring. We prove that if R is a nil α-Armendariz ring and α t = IR, then the set of nilpotent elements of R is an α-compatible subrng of ...
J. Esmaeili, E. Hashemi
doaj