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| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Archiv der Mathematik |
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| Verlag: | BIRKHAUSER VERLAG AG |
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| Ort der Veröffentlichung: | BASEL |
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| Band: | 76 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 4 |
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| Seitenbereich: | S. 274-282 |
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| Datum: | 2001 |
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| Institutionen: | Mathematik |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1007/s000130050569 | DOI |
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| Stichwörter / Keywords: | ; |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 73709 |
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Zusammenfassung
The differential Hilbert series of a commutative local algebra R/R-0 which is essentially of finite type is the generating function of the numerical function which associates with each n is an element of N the minimal number of generators of the algebra P-R/R0(n) of principal parts of order n, considered as an R-module. It can be expressed as a rational function over the integers. We wish to ...
Zusammenfassung
The differential Hilbert series of a commutative local algebra R/R-0 which is essentially of finite type is the generating function of the numerical function which associates with each n is an element of N the minimal number of generators of the algebra P-R/R0(n) of principal parts of order n, considered as an R-module. It can be expressed as a rational function over the integers. We wish to compute this rational function in terms of other invariants of the local algebra or at least give estimates of it. We obtain formulas which generalize wellknown facts about the minimal number of generators of the module of Kahler differentials.
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