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The rate of a standard graded $K$-algebra $A$ is a measure of the growth of the shifts in a minimal free resolution of $K$ as an $A$-module. In particular $A$ has rate one if and only if it is Koszul. It is known that a generic Artinian Gorenstein al
Externí odkaz:
http://arxiv.org/abs/2304.14842
Can one tell if an ideal is radical just by looking at the degrees of the generators? In general, this is hopeless. However, there are special collections of degrees in multigraded polynomial rings, with the property that any multigraded ideal genera
Externí odkaz:
http://arxiv.org/abs/2203.08732
Autor:
Clelia Norese, Elena Nicosia, Katia Cortese, Valentina Gentili, Roberta Rizzo, Sabrina Rizzo, Elena Grasselli, Giulia De Negri Atanasio, Maria Cristina Gagliani, Micaela Tiso, Matteo Zinni, Alessandra Pulliero, Alberto Izzotti
Publikováno v:
Frontiers in Public Health, Vol 12 (2024)
IntroductionCoastal seawater pollution poses a public health risk due to the potential ingestion of contaminated water during recreational activities. Wastewater-based epidemiology has revealed the abundant presence of SARS-CoV-2 in seawater emitted
Externí odkaz:
https://doaj.org/article/7f4c1a50bb764977918d32eb78ad01aa
In this paper, we survey the theory of Cartwright-Sturmfels ideals. These are Z^n-graded ideals, whose multigraded generic initial ideal is radical. Cartwright-Sturmfels ideals have surprising properties, mostly stemming from the fact that their Hilb
Externí odkaz:
http://arxiv.org/abs/2108.10115
Autor:
Francesca Rispo, Giulia De Negri Atanasio, Ilaria Demori, Giosuè Costa, Emanuela Marchese, Simón Perera-del-Rosario, Eva Serrano-Candelas, Martina Palomino-Schätzlein, Elisabetta Perata, Federica Robino, Pier Francesco Ferrari, Sara Ferrando, Silvia Letasiova, Jan Markus, Matteo Zanotti-Russo, Elena Grasselli
Publikováno v:
Frontiers in Cell and Developmental Biology, Vol 11 (2024)
Polyphenolic compounds constitute a diverse group of natural components commonly occurring in various plant species, known for their potential to exert both beneficial and detrimental effects. Additionally, these polyphenols have also been implicated
Externí odkaz:
https://doaj.org/article/7740777dee114e9ba29fc40ec5beb5b1
The security of multivariate cryptosystems and digital signature schemes relies on the hardness of solving a system of polynomial equations over a finite field. Polynomial system solving is also currently a bottleneck of index-calculus algorithms to
Externí odkaz:
http://arxiv.org/abs/2011.01032
Publikováno v:
Algebr. Comb. 3 (2020), no. 5, 1011--1021
The goal of this short note is to study the secant varieties of the triple Segre product of type (1,a,b) by means of the standard tools of combinatorial commutative algebra. We reprove and extend to arbitrary characteristic results of Landsberg and W
Externí odkaz:
http://arxiv.org/abs/1910.08733
Akademický článek
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Akademický článek
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Publikováno v:
Crystals, Vol 14, Iss 2, p 156 (2024)
The R23Cu7Mg4 (R = Ca, Eu) intermetallics, studied by single-crystal X-ray diffraction, were found to be isostructural with the Yb23Cu7Mg4 prototype (hP68, k4h2fca, space group P63/mmc), forming a small group inside the bigger 23:7:4 family, otherwis
Externí odkaz:
https://doaj.org/article/1aae3b29f17d4efbb1142ecf0516cb59