منابع مشابه
On Ideals of Polynomials and Their Applications
The notion of operators ideals goes back to Grothendieck [10] and its natural extension to polynomials and multilinear mappings is credited to Pietsch [24]. We prove some results on ideals of polynomials and obtain, as corollaries and particular cases, new properties concerning dominated, almost summing, integral polynomials and related ideals. Among other results, we obtain Extrapolation and D...
متن کاملGaussian Polynomials and Content Ideals
We prove that every regular Gaussian polynomial over a locally Noetherian ring has invertible content ideal. We do this by first proving that Gaussian polynomials over an approximately Gorenstein local ring have principal content ideal. We also show over locally Noetherian rings that a regular polynomial f of degree n is Gaussian if c(fg) = c(f)c(g) for polynomials g of degree at most n. Introd...
متن کاملIdeals Generated by Exponential-Polynomials
In several problems in Harmonic Analysis, .and in Number Theory as well, lemmas on small values of holomorphic functions play an important role. Let us give first an example from Harmonic Analysis. distributions with compact support in 17% " whose Fourier transforms satisfy, in C " , a lower estimate of the form (0.2) with v, ,..., v, also distributions with compact support 131, 33). In many ex...
متن کاملStrongly stable ideals and Hilbert polynomials
Strongly stable ideals are a key tool in commutative algebra and algebraic geometry. These ideals have nice combinatorial properties that makes them well suited for both theoretical and computational applications. In the case of polynomial rings with coefficients in a field with characteristic zero, the notion of strongly stable ideals coincides with the notion of Borel-fixed ideals. Ideals of ...
متن کاملChromatic polynomials and order ideals of monomials
One expansion of the chromatic polynomial n(G,x) of a graph G relies on spanning trees of a graph. In fact, for a connected graph G of order n, one can express n(G,x) = (1 )“-‘x cyi’=;’ ti (1 -x)‘, where ti is the nun&r of spanning trees with external activity 0 and internal activity i. Moreover, it is known (via commutative ring theory) that ti arises as the number of monomials of degree n i 1...
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ژورنال
عنوان ژورنال: Acta Mathematica Vietnamica
سال: 2018
ISSN: 0251-4184,2315-4144
DOI: 10.1007/s40306-018-0297-5