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http://hdl.handle.net/10077/8306
Title: | Strongly inessential elements of a perfect height 2 ideal | Authors: | Beccari, Giannina Massaza, Carla |
Keywords: | perfect height 2 ideals; invariants of a standard basis; Hilbert-Burch matrix; Dubreil’s inequality | Issue Date: | 2012 | Publisher: | EUT Edizioni Università di Trieste | Source: | Giannina Beccari and Carla Massaza, "Strongly inessential elements of a perfect height 2 ideal", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 44 (2012), pp. 473–502. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 44 (2012) |
Abstract: | In this paper we expand on some results exposed in a previous one, in which we introduced the concept of inessential and strongly inessential generators in a standard basis of a saturated homogeneous ideal. The appearance of strongly inessential elements seemed to be a non generic situation; in this paper we analyze their presence in a perfect height 2 ideal with the greatest number of generators, according to Dubreil’s inequality. |
Type: | Article | URI: | http://hdl.handle.net/10077/8306 | ISSN: | 0049-4704 |
Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012) |
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File | Description | Size | Format | |
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Beccari_Massaza_RIMUT44.pdf | 337.98 kB | Adobe PDF | ![]() View/Open |
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