Hilbert-Kunz theory for binoids
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2014121912975
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2014121912975
Title: | Hilbert-Kunz theory for binoids |
Authors: | Batsukh, Bayarjargal |
Thesis advisor: | Prof. Dr. Holger Brenner |
Thesis referee: | Prof. Dr. Tim Römer |
Abstract: | We develop Hilbert-Kunz theory in a combinatorial setting namely for binoids. We show that the Hilbert-Kunz multiplicity for commutative, finitely generated, semipositive, cancellative and reduced binoids exists and is a rational number. This implies that the corresponding Hilbert-Kunz multiplicity for the binoid algebras does not depend on the characteristic. |
URL: | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2014121912975 |
Subject Keywords: | Hilbert-Kunz theory; Binoid |
Issue Date: | 19-Dec-2014 |
Type of publication: | Dissertation oder Habilitation [doctoralThesis] |
Appears in Collections: | FB06 - E-Dissertationen |
Files in This Item:
File | Description | Size | Format | |
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thesis_batsukh.pdf | Präsentationsformat | 606,14 kB | Adobe PDF | thesis_batsukh.pdf View/Open |
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