Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Boix, Alberto F."'
We extend Ravagnani's MacWilliams duality theory to the settings of rank metric codes over finite chain rings, relating the sequences of $q$-binomial moments of a rank metric code over this class of rings with those of its dual.
Externí odkaz:
http://arxiv.org/abs/2408.03237
The goal of this paper is to study Goldbach's conjecture for rings of regular functions of affine algebraic varieties over a field. Among our main results, we define the notion of Goldbach condition for Newton polytopes, and we prove in a constructiv
Externí odkaz:
http://arxiv.org/abs/2312.16524
Autor:
Boix, Alberto F., Eghbali, Majid
Publikováno v:
International Journal of Algebra and Computation, volume 33 (2023), number 4, 769-786
The goal of this paper is twofold; on the one hand, motivated by questions raised by Schenzel, we explore situations where the Hartshorne--Lichtenbaum Vanishing Theorem for local cohomology fails, leading us to simpler expressions of certain local co
Externí odkaz:
http://arxiv.org/abs/2210.09144
Let $R$ be a commutative Noetherian ring of prime characteristic $p$. The main goal of this paper is to study in some detail when \[ \overline{W^R}:=\{\mathfrak{p}\in\operatorname{Spec} (R):\ \mathcal{F}^{E_{\mathfrak{p}}}\text{ is finitely generated
Externí odkaz:
http://arxiv.org/abs/2203.08511
Autor:
Alberich-Carramiñana, Maria, Boix, Alberto F., Fernández, Julio, Guàrdia, Jordi, Nart, Enric, Roé, Joaquim
Let $\nu$ be a valuation of arbitrary rank on the polynomial ring $K[x]$ with coefficients in a field $K$. We prove comparison theorems between MacLane-Vaqui\'e key polynomials for valuations $\mu\le\nu$ and abstract key polynomials for $\nu$. Also,
Externí odkaz:
http://arxiv.org/abs/2005.04406
Artin approximation and other related approximation results are used in various areas. The traditional formulation of such results is restricted to filtrations by powers of ideals, $\{I^j\}$, and to Noetherian rings. In this paper we extend several a
Externí odkaz:
http://arxiv.org/abs/1907.09736
Given a polynomial $f$ with coefficients in a field of prime characteristic $p$, it is known that there exists a differential operator that raises $1/f$ to its $p$th power. We first discuss a relation between the `level' of this differential operator
Externí odkaz:
http://arxiv.org/abs/1903.11311
Autor:
Boix, Alberto F., Hernández, Daniel J., Kadyrsizova, Zhibek, Katzman, Mordechai, Malec, Sara, Robinson, Marcus, Schwede, Karl, Smolkin, Daniel, Teixeira, Pedro, Witt, Emily E.
Publikováno v:
J. Softw. Alg. Geom. 9 (2019) 89-110
This note describes a \emph{Macaulay2} package for computations in prime characteristic commutative algebra. This includes Frobenius powers and roots, $p^{-e}$-linear and $p^{e}$-linear maps, singularities defined in terms of these maps, different ty
Externí odkaz:
http://arxiv.org/abs/1810.02770
Finite determinacy for mappings has been classically thoroughly studied in numerous scenarios in the real- and complex-analytic category and in the differentiable case. It means that the map-germ is determined, up to a given equivalence relation, by
Externí odkaz:
http://arxiv.org/abs/1808.06185
Autor:
Eghbali, Majid, Boix, Alberto F.
We generalize some known results on the relation between the cohomological and projective dimension. Then we examine the set-theoretically Cohen-Macaulay ideals to find some cohomological characterization of these kind of ideals.
Comment: 21 pag
Comment: 21 pag
Externí odkaz:
http://arxiv.org/abs/1806.04405