An algorithm to compute the Hilbert depth. (January 2015)

• Record Type: Journal Article
• Authors: Popescu, Adrian
• Is Part Of: Journal of symbolic computation. Volume 66(2015)
• Page Start: 1
• Page End: 7
• Publication Date: 2015-01
• Subjects: Depth -- Hilbert depth -- Stanley depth; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2014.03.002
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We give an algorithm which computes the Hilbert depth of a graded module based on a theorem of Uliczka. Partially answering a question of Herzog, we see that the Hilbert depth of a direct sum of modules can be strictly greater than the Hilbert depth of all the summands.