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pro vyhledávání: '"Flores, Zachary"'
A locally recoverable code of locality $r$ over $\mathbb{F}_{q}$ is a code where every coordinate of a codeword can be recovered using the values of at most $r$ other coordinates of that codeword. Locally recoverable codes are efficient at restoring
Externí odkaz:
http://arxiv.org/abs/2406.12046
What provides the highest level of assurance for correctness of execution within a programming language? One answer, and our solution in particular, to this problem is to provide a formalization for, if it exists, the denotational semantics of a prog
Externí odkaz:
http://arxiv.org/abs/2303.08894
We discuss a formal framework for using algebraic structures to model a meta-language that can write, compose, and provide interoperability between abstractions of DSLs. The purpose of this formal framework is to provide a verification of composition
Externí odkaz:
http://arxiv.org/abs/2302.00744
Apolarity is an important tool in commutative algebra and algebraic geometry which studies a form, $f$, by the action of polynomial differential operators on $f$. The quotient of all polynomial differential operators by those which annihilate $f$ is
Externí odkaz:
http://arxiv.org/abs/2002.04818
Autor:
Cisto, Carmelo, DiPasquale, Michael, Failla, Gioia, Flores, Zachary, Peterson, Chris, Utano, Rosanna
A numerical semigroup is a submonoid of $\mathbb N$ with finite complement in $\mathbb N$. A generalized numerical semigroup is a submonoid of $\mathbb{N}^{d}$ with finite complement in $\mathbb{N}^{d}$. In the context of numerical semigroups, Wilf's
Externí odkaz:
http://arxiv.org/abs/1909.13120
Autor:
Flores, Zachary
We investigate the Weak Lefschetz Properties for modules whose minimal free resolutions are given by generalized Kosuzl complexes in dimension three through a careful study of their Betti numbers and the symmetry and unimodality of their Hilbert func
Externí odkaz:
http://arxiv.org/abs/1908.03648
Let $R=\mathbb K[x,y,z]$ be a standard graded polynomial ring where $\mathbb K$ is an algebraically closed field of characteristic zero. Let $M = \oplus_j M_j$ be a finite length graded $R$-module. We say that $M$ has the Weak Lefschetz Property if t
Externí odkaz:
http://arxiv.org/abs/1803.10337
Publikováno v:
In Journal of Algebra 15 February 2021 568:22-34
Autor:
Flores, Zachary
Let $(R, \mathfrak{m}, k)$ denote a local Cohen-Macaulay ring such that the category of maximal Cohen-Macaulay $R$-modules $\textbf{mcm}\ R$ contains an $n$-cluster tilting object $L$. In this paper, we compute $G_1(R) := K_1(\textbf{mod}\ R)$ explic
Externí odkaz:
http://arxiv.org/abs/1509.02978
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