Results 61 to 70 of about 908,506 (166)
Border Basis of an Ideal of Points and its Application in Experimental Design and Regression
پژوهشهای ریاضی, 2020 Introduction Border bases are a generalization of Gröbner bases for zero-dimensional ideals which have attracted the interest of many researchers recently. More precisely, border bases provide a new method to find a structurally stable monomial basis for
Samira Poukhajouei +2 more
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Divisors on graphs, Connected flags, and Syzygies [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We study the binomial and monomial ideals arising from linear equivalence of divisors on graphs from the point of view of Gröbner theory. We give an explicit description of a minimal Gröbner basis for each higher syzygy module.
Fatemeh Mohammadi, Farbod Shokrieh
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F‐purity of binomial edge ideals
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract In 2012, Matsuda introduced the class of weakly closed graphs and investigated when binomial edge ideals are F‐pure. He proved that weakly closed binomial edge ideals are F‐pure whenever the base field has positive characteristic. He conjectured that: (i) when the base field has characteristic 2, every F‐pure binomial edge ideal comes from a ...
Adam LaClair, Jason McCullough
wiley +1 more source
FTheoryTools: Advancing Computational Capabilities for F‐Theory Research
Fortschritte der Physik, Volume 74, Issue 1, January 2026.Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies +2 more
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Gröbner Bases on $\Sigma$-Algebras
Treballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Any: 2026. Director: Carlos D’Andrea i Ana Belén de FelipeCopilot said: In this text, we develop a theory of Gröbner bases for $\Sigma$-algebras.
Pérez Arrese-Igor, Iker
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Vacuum geometry of the standard model
Physics Letters BVacuum structure of a quantum field theory is a crucial property. In theories with extended symmetries, such as supersymmetric gauge theories, the vacuum is typically a continuous manifold, called the vacuum moduli space, parametrized by the expectation ...
Yang-Hui He +4 more
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Spectral Modeling of the Dark Signal for UV and VIS‐NIR AvaSpec‐2048 CCD‐Array Spectrometers
Earth and Space Science, Volume 13, Issue 1, January 2026.Abstract The use of CCD‐array spectrometers has substantially increased in recent years in many different fields. Although they have numerous advantages over conventional scanning spectrometers, they need to be thoroughly characterized to correct for various sources of error. This study focuses on the experimental characterization of the dark signal of
A. Flores +4 more
wiley +1 more source
On some basic applications of Gröbner bases in non-commutative polynomial rings
, 1998 In this paper we generalize some basic applications of Gröbner bases in commutative polynomial rings to the non-commutative case. We define a non-commutative elimination order. Methods of finding the intersection of two ideals are given.
Lund University., Nordbeck, Patrik,
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Bases de Gröbner-Shirshov para álgebras de Sklyanin
In this thesis we study the theory of Gröbner-Shirshov bases for three- dimensional and four-dimensional Sklyanin algebras. First, we present a brief construction of free algebras, and then describe the theory of Gröbner-Shirshov bases of these algebras.
Herrera Cano, Karol Stefany
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Algebraic attack on NTRU using Witt vectors and Gröbner bases
Journal of Mathematical Cryptology, 2009 We present an algebraic attack on NTRU (restricted to the case where the parameter q is a power of two) using the method of the Witt vectors proposed by Silverman, Smart and Vercauteren [Springer: 278–298, 2005]; the latter considered only the first two ...
Bourgeois Gérald, Faugère Jean-Charles
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