Results 61 to 70 of about 18,021 (212)

Z-Polynomials and Ring Commutativity [PDF]

Mathematical Proceedings of the Royal Irish Academy, 2012
We characterise polynomials f with integer coefficients such that a ring with unity R is necessarily commutative if f(x) is central for all x Ɛ R. We also solve the corresponding problem without the assumption that the ring has a unity.
Buckley, Stephen M., McHale, D.
openaire   +2 more sources

Solution of the Least Squares Method problem of pairwise comparison matrices [PDF]

, 2008
The aim of the paper is to present a new global optimization method for determining all the optima of the Least Squares Method (LSM) problem of pairwise comparison matrices. Such matrices are used, e.g., in the Analytic Hierarchy Process (AHP).
Bozóki, Sándor
core   +1 more source

Jordan derivations of polynomial rings

Karpatsʹkì Matematičnì Publìkacìï, 2012
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 $R[[x_1,\dots,x_n]]$. We also establish a condition when $JDer R$ is a left $
I. I. Lishchynsky
doaj   +1 more source

Invariant rings of orthogonal groups over F-2 [PDF]

, 2005
We determine the rings of invariants SG where S is the symmetric algebra on the dual of a vector space V over F-2 and G is the orthogonal group preserving a non-singular quadratic form on V.
Rajaei, S.M., Mohseni Rajaei, S., Kropholler, P.H., Segal, J.   +3 more
core   +1 more source

SMARANDACHE PSEUDO- IDEALS [PDF]

, 2008
In this paper we study the Smarandache pseudo-ideals of a Smarandache ring. We prove every ideal is a Smarandache pseudo-ideal in a Smarandache ring but every Smarandache pseudo-ideal in general is not an ideal. Further we show that every polynomial ring
Vasantha Kandasamy, W. B.
core   +1 more source

Non-Cohen-Macaulay Vector Invariants and a Noether Bound for a Gorenstein Ring of Invariants [PDF]

, 1999
This paper contains two essentially independent results in the invariant theory of finite groups. First we prove that, for any faithful representation of a non-trivial p-group over a field of characteristic p, the ring of vector invariants ofmcopies of
Hughes, I.P., Campbell, Eddy, A. V. Geramita, D. L. Wehlau, R. J. Shank, GeramitaI, A.V., Shank, R. James, Wehlau, David L., H. E. A. Campbell, I. P. Hughes   +9 more
core   +1 more source

Polynomial identity rings as rings of functions

Journal of Algebra, 2007
24 pages. This is the final version of the article, to appear in J. Algebra.
Reichstein, Z., Vonessen, N.
openaire   +2 more sources

Monomial retracts of polynomial rings are polynomial rings

Let $R$ be a ring and $B = R[X_1, \dots, X_n]$ the polynomial ring in $n$ variables over $R$. In this article, we consider retractions $φ: B \longrightarrow B$ such that $φ(X_i)$ is either a monic monomial or $0$. We prove that if $R$ is an integral domain, then any such retract is isomorphic to $R^{[p]}$, the polynomial ring in $p$ variables over $R$,
Chakraborty, Sagnik, Pal, Madhuparna
openaire   +2 more sources

Computing Wiener and Hyper-Wiener Indices of Zero-Divisor Graph of ℤℊ3×ℤI1I2

Journal of Function Spaces, 2022
Let S=ℤℊ3×ℤI1I2 be a commutative ring where ℊ,I1 and I2 are positive prime integers with I1≠I2. The zero-divisor graph assigned to S is an undirected graph, denoted as YS with vertex set V(Y(S)) consisting of all Zero-divisor of the ring S and for any c,
Yonghong Liu, Abdul Rauf, null AdnanAslam, Saira Ishaq, Abudulai Issa   +4 more
doaj   +1 more source

An Algebraic Method for Constructing Bases in Binary Linear Codes for Information Dispersal Algorithms

Mathematics
The algebraic analysis of linear code parameters reveals deep connections with cryptographic constructions, including the Information Dispersal Algorithms (IDAs) and secret-sharing schemes.
Oscar Casimiro-Muñoz, Ricardo Marcelín-Jiménez, Rubén Vázquez-Medina, Leonardo Palacios-Luengas   +3 more
doaj   +1 more source