Results 41 to 50 of about 18,021 (212)
The Noether numbers for cyclic groups of prime order [PDF]
, 2006 The Noether number of a representation is the largest degree of an element in a minimal homogeneous generating set for the corresponding ring of invariants.
Woodcock, Chris F. +7 more
core +1 more source
Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings
International Journal of Mathematics and Mathematical Sciences, 2015 Let m be a positive integer and let Rm denote the ring Z/(m), and let Rmn denote the Cartesian product of n copies of Z/m. Let f(x) be a quadratic polynomial in Z[x1,…,xn].
Ali H. Hakami
doaj +1 more source
A note on rings which are multiplicatively generated by idempotents and nilpotents
International Journal of Mathematics and Mathematical Sciences, 1988 We give the structure of certain rings which are multiplicatively generated by nilpotents or multiplicatively generated by idempotents and nilpotents.
Hazar Abu-Khuzam
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Differential polynomial rings over rings satisfying a polynomial identity
Journal of Algebra, 2015 Let $R$ be a ring satisfying a polynomial identity and let $δ$ be a derivation of $R$. We show that if $N$ is the nil radical of $R$ then $δ(N)\subseteq N$ and the Jacobson radical of $R[x;δ]$ is equal to $N[x;δ]$. As a consequence, we have that if $R$ is locally nilpotent then $R[x;δ]$ is locally nilpotent.
Bell, Jason P. +2 more
openaire +3 more sources
On the Waring problem for polynomial rings [PDF]
Proceedings of the National Academy of Sciences, 2012 In this note we discuss an analog of the classical Waring problem for . Namely, we show that a general homogeneous polynomial of degree divisible by k ≥2 can be represented as a sum of at most k
R. Froberg +2 more
openaire +5 more sources
Polynomial Poisson algebras: Gel'fand-Kirillov problem and Poisson spectra [PDF]
, 2014 We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we investigate a Poisson birational equivalence problem for polynomial Poisson algebras over a field of arbitrary characteristic.
Lecoutre, César
core
The equivalence of two graph polynomials and a symmetric function
, 2009 The U-polynomial, the polychromate and the symmetric function generalization of the Tutte polynomial due to Stanley are known to be equivalent in the sense that the coefficients of any one of them can be obtained as a function of the coefficients of any ...
Noble, SD +5 more
core +1 more source
Radicals of skew polynomial rings and skew Laurent polynomial rings
Journal of Algebra, 2011 In this paper, \(R\) denotes an associative ring with identity, and \(\sigma\) stands for an automorphism of \(R\). \(W(R)\), \(L(R)\) and \(N(R)\) denote the Wedderburn radical, the Levitzki radical and the upper nil radical of \(R\), respectively. An ideal \(I\) of \(R\) is called a \(\sigma\)-ideal if \(\sigma(I)\subseteq I\).
Hong, Chan Yong +2 more
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M-Polynomial and Topological Indices of Benzene Ring Embedded in P-Type Surface Network
Journal of Chemistry, 2019 The representation of chemical compounds and chemical networks with the M-polynomials is a new idea, and it gives nice and good results of the topological indices.
Hong Yang +4 more
doaj +1 more source
Reduced Gröbner Bases in Polynomial Rings over a Polynomial Ring [PDF]
Mathematics in Computer Science, 2008 We propose a new notion of reduced Grobner bases in polynomial rings over a polynomial ring and we show that every ideal has a unique reduced Grobner basis. We introduce an algorithm for computing them.
openaire +1 more source