Hellus, M. and Rechenauer, A. and Waldi, R. (2018) Note on a theorem of Eliahou. SEMIGROUP FORUM, 97 (1). pp. 64-74. ISSN 0037-1912, 1432-2137
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From a result (Wilf's conjecture and Macaulay's theorem, 2017, Theorem 5.11) of Eliahou on the growth of the Hilbert function of a standard graded algebra we derive an inequality related to a question in Wilf (Am Math Mon 85, 1978). This enables us to construct a (to our knowledge new) class of numerical semigroups of embedding dimension 5 and arbitrarily high Cohen-Macaulay-type, for which the question of Wilf (1978) has an affirmative answer.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Michael Hellus Mathematics > Prof. Dr. Rolf Waldi |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Mar 2020 12:09 |
| Last Modified: | 06 Mar 2020 12:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/14196 |
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