An introduction to Hilbert depth
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2024-02-12 17:36
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ICHIM, Bogdan, ZAROJANU, Andrei. An introduction to Hilbert depth. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 86-89. ISBN 978-9975-68-244-2.
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Conference of Mathematical Society of the Republic of Moldova
3, 2014
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 19-23 august 2014

An introduction to Hilbert depth

Pag. 86-89

Ichim Bogdan, Zarojanu Andrei
 
"Simion Stoilow" Institute of Mathematics of Romanian Academy
 
 
Disponibil în IBN: 9 octombrie 2017


Rezumat

In the first part of this paper we present the Hilbert decompositions of a module M which depends only on the Hilbert function of M and an analogous notion of depth, called Hilbert depth. In the second part we implemented in CoCoA an algorithm for computing the Hilbert depth of a module.

Cuvinte-cheie
: commutative algebra, computer algebra, Stanley depth, Hilbert depth