Canonical Resolutions over Koszul Algebras
| Autor(en): | Faber, E. Juhnke-Kubitzke, M. Lindo, H. Miller, C. G, R.R. Seceleanu, A. |
Stichwörter: | Betti numbers; Koszul algebra; Minimal free resolution | Erscheinungsdatum: | 2021 | Herausgeber: | Springer Science and Business Media Deutschland GmbH | Journal: | Association for Women in Mathematics Series | Volumen: | 29 | Startseite: | 281 | Seitenende: | 301 | Zusammenfassung: | We generalize Buchsbaum and Eisenbud's resolutions for the powers of the maximal ideal of a polynomial ring to resolve powers of the homogeneous maximal ideal over graded Koszul algebras. Our approach has the advantage of producing resolutions that are both more explicit and minimal compared to those previously discovered by Green and Martínez-Villa [15] or Martínez-Villa and Zacharia [20]. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG. |
ISSN: | 2364-5733 | DOI: | 10.1007/978-3-030-91986-3_11 | Externe URL: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85127115876&doi=10.1007%2f978-3-030-91986-3_11&partnerID=40&md5=f73d1b425c33cf6ec37f3440f964589a |
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