-
1
Jordan derivations of polynomial rings
Published 2012-12-01“…We study connections between the set of Jordan derivations of a ring $R$ and the sets of Jordan derivations of a polynomial ring $R[x_1,\dots,x_n]$ and formal power series ring $R[[x_1,\dots,x_n]]$. …”
Get full text
Article -
2
Jordan derivations of polynomial rings
Published 2009-06-01“…We study connections between the set of Jordan derivations of aring $R$ and the sets of Jordan derivations of a polynomial ring$R[x_1,dots,x_n]$ and formal power series ring$R[[x_1,dots,x_n]]$. …”
Get full text
Article -
3
On some properties of polynomials rings
Published 1987-01-01Subjects: “…polynomial rings…”
Get full text
Article -
4
-
5
On Nilpotent Elements of Skew Polynomial Rings
Published 2012-09-01“…We study the structure of the set of nilpotent elements in skew polynomial ring R[x; α], when R is an α-Armendariz ring. …”
Get full text
Article -
6
Computation in multivariate quaternionic polynomial ring
Published 2013-05-01“…In this paper we study on division algorithm and Gröbner bases in the multivariate quaternionic polynomial ring.…”
Get full text
Article -
7
-
8
On Syzygy Modules over Laurent Polynomial Rings
Published 2020-01-01“…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 polynomial ring via an appropriate isomorphism.…”
Get full text
Article -
9
Straightening rule for an m'-truncated polynomial ring
Published 2020“…We consider a certain quotient of a polynomial ring categorified by both the isomorphic Green rings of the symmetric groups and Schur algebras generated by the signed Young permutation modules and mixed powers respectively. …”
Get full text
Journal Article -
10
-
11
On quasi-Armendariz properties on skew polynomial rings
Published 2013Get full text
Conference or Workshop Item -
12
An algorithm for primary decomposition in polynomial rings over the integers
Published 2011-08-01Get full text
Article -
13
The Applications of Algebraic Polynomial Rings in Satellite Coding and Cryptography
Published 2022-12-01Subjects: “…polynomial rings…”
Get full text
Article -
14
More on Codes Over Finite Quotients of Polynomial Rings
Published 2025-01-01Subjects: “…Polynomial ring…”
Get full text
Article -
15
An immanant formulation of the dual canonical basis of the quantum polynomial ring
Published 2009-01-01Subjects: Get full text
Article -
16
Lattice Encoding of Cyclic Codes from Skew-polynomial Rings
Published 2015“…We propose a construction of lattices from cyclic codes from skew-polynomial rings. This construction may be seen as a variation of Construction A of lattices from linear codes, obtained from quotients of orders in cyclic division algebras. …”
Get full text
Get full text
Conference Paper -
17
-
18
-
19
Nilpotent graphs of skew polynomial rings over non-commutative rings
Published 2020-03-01Subjects: Get full text
Article -
20
Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings
Published 2008-01-01“…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. …”
Get full text
Article