Results 41 to 50 of about 1,801,897 (347)
Discriminants and automorphism groups of Veronese subrings of skew polynomial rings [PDF]
, 2016 We study important invariants and properties of the Veronese subalgebras of q-skew polynomial rings, including their discriminant, center and automorphism group, as well as cancellation property and the Tits alternative.
K. Chan, A. Young, James J. Zhang
semanticscholar +1 more source
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
doaj +1 more source
A quadratic Poisson Gel'fand-Kirillov problem in prime characteristic [PDF]
, 2015 The quadratic Poisson Gel’fand-Kirillov problem asks whether the field of fractions of a Poisson algebra is Poisson birationally equivalent to a Poisson affine space, i.e. to a polyno-mial algebra K[X1,..., Xn] with Poisson bracket defined by {Xi, Xj} =
Lecoutre, Cesar +3 more
core +1 more source
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
doaj +1 more source
An immanant formulation of the dual canonical basis of the quantum polynomial ring [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We show that dual canonical basis elements of the quantum polynomial ring in $n^2$ variables can be expressed as specializations of dual canonical basis elements of $0$-weight spaces of other quantum polynomial rings.
Mark Skandera, Justin Lambright
doaj +1 more source
Chain conditions on composite Hurwitz series rings
Open Mathematics, 2017 In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or ...
Lim Jung Wook, Oh Dong Yeol
doaj +1 more source
On Syzygy Modules over Laurent Polynomial Rings
International Journal of Mathematics and Mathematical Sciences, 2020 In this paper, we present a dynamical method for computing the syzygy module of multivariate Laurent polynomials with coefficients in a Dedekind ring (with zero divisors) by reducing the computation over Laurent polynomial rings to calculations over a ...
Morou Amidou, Ousmane Moussa Tessa
doaj +1 more source
Hilbert series of symmetric ideals in infinite polynomial rings via formal languages [PDF]
, 2016 Let $R$ be the polynomial ring $K[x_{i,j}]$ where $1 \le i \le r$ and $j \in \mathbb{N}$, and let $I$ be an ideal of $R$ stable under the natural action of the infinite symmetric group $S_{\infty}$. Nagel--R\"omer recently defined a Hilbert series $H_I(s,
Robert Krone, A. Leykin, Andrew Snowden
semanticscholar +1 more source
, 2013 Necessary and sufficient conditions are obtained for an ambiskew polynomial algebra A over a Hopf k-algebra R to possess the structure of a Hopf algebra extending that of R, in which the added variables X+ and X- are skew primitive.
Brown, K.A., Brown, K., Macauley, M.
core +1 more source
Equivariant Hilbert Series in non-Noetherian Polynomial Rings [PDF]
, 2015 We introduce and study equivariant Hilbert series of ideals in polynomial rings in countably many variables that are invariant under a suitable action of a symmetric group or the monoid $Inc(\mathbb{N})$ of strictly increasing functions.
U. Nagel, Tim Roemer
semanticscholar +1 more source