Work

An algorithm for computing the multigraded Hilbert depth of a module

Year: 2013

Type: preprint

Abstract: A method for computing the multigraded Hilbert depth of a module was presented in [16]. In this paper we improve the method and we introduce an effective algorithm for performing the computations. In a particular case, the algorithm may also be easily adapted for computing the Stanley depth of the module. We further present interesting examples which were found with the help of an experimental implementation of the algorithm. Thus, we completely solve several open problems proposed by Herzog in [12].

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1304.7215

Authors: Ichim, Bogdan, Zarojanu, Andrei

Institutions: IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române, Romanian Academy, University of Bucharest

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Autoritatea Natională pentru Cercetare Stiintifică, Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii

Awards: G4950139657, G7394300926, G811581086

OpenAlex ID: W2951088334

Cites: 14

Cited by: 2

Related to: 20