Results 11 to 20 of about 11,627 (129)
Quasi-duo skew polynomial rings
Journal of Pure and Applied Algebra, 2008 A characterization of right (left) quasi-duo skew polynomial rings of endomorphism type and skew Laurent polynomial rings are given. In particular, it is shown that (1) the polynomial ring R[x] is right quasi-duo iff R[x] is commutative modulo its Jacobson radical iff R[x] is left quasi-duo, (2) the skew Laurent polynomial ring is right quasi-duo iff ...
Leroy, André +2 more
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Rings of skew polynomials and Gel'fand-Kirillov conjecture for quantum groups [PDF]
, 1993 We introduce and study action of quantum groups on skew polynomial rings and related rings of quotients. This leads to a ``q-deformation'' of the Gel'fand-Kirillov conjecture which we partially prove. We propose a construction of automorphisms of certain
A. Joseph +20 more
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A signature-based algorithm for computing Gröbner-Shirshov bases in skew solvable polynomial rings
Open Mathematics, 2015 Signature-based algorithms are efficient algorithms for computing Gröbner-Shirshov bases in commutative polynomial rings, and some noncommutative rings. In this paper, we first define skew solvable polynomial rings, which are generalizations of solvable ...
Zhao Xiangui, Zhang Yang
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A Note on Primitivity of Ideals in Skew Polynomial Rings of Automorphism Type
International Journal of Mathematics and Mathematical Sciences, 2016 We extend results about primitive ideals in polynomial rings over nil rings originally proved by Smoktunowicz (2005) for σ-primitive ideals in skew polynomial rings of automorphism type.
Edilson Soares Miranda
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British Journal of Mathematics & Computer Science, 2015 DOI: 10.9734/BJMCS/2015/18665 Editor(s): (1) Sergio Serrano, Department of Applied Mathematics, University of Zaragoza, Spain. Reviewers: (1) Arvid Siqveland, Buskerud Vestfold University College, Norway. (2) Piyush Shroff, Mathematics, Texas State University, USA. (3) Francisco Bulnes, Department in Mathematics And Engineering, Tecnologico De Estudios,
W. Fakieh, S. Nauman
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Reversible skew laurent polynomial rings and deformations of poisson automorphisms [PDF]
, 2009 A skew Laurent polynomial ring S = R[x(+/- 1); alpha] is reversible if it has a reversing automorphism, that is, an automorphism theta of period 2 that transposes x and x(-1) and restricts to an automorphism gamma of R with gamma = gamma(-1).
DAVID A. JORDAN +7 more
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Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
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Row Reduction Applied to Decoding of Rank Metric and Subspace Codes [PDF]
, 2016 We show that decoding of $\ell$-Interleaved Gabidulin codes, as well as list-$\ell$ decoding of Mahdavifar--Vardy codes can be performed by row reducing skew polynomial matrices.
Li, Wenhui +3 more
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Nilpotent Elements in Skew Polynomial Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2017 Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings.
M. Azimi, A. Moussavi
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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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