Algebraic theory of affine monoids

Katthän, Lukas

Algebraic theory of affine monoids

This thesis treats several aspects of affine monoids. First, we consider the structure of the set of holes of an affine monoid Q. This set is the difference between Q and its normalization. We find connections to algebraic properties of the monoi algebra K[Q] and in particular to its local cohom...

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Bibliografische gegevens
Hoofdauteur:	Katthän, Lukas
Andere auteurs:	Welker, Volkmar (Prof. Dr.) (Thesis begeleider)
Formaat:	Dissertation
Taal:	Engels
Gepubliceerd in:	Philipps-Universität Marburg 2013
Onderwerpen:	affine monoid algebra Affines Monoid Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) Polynomial rings and ideals; rings of integer-valued polynomials Mathematik Kohomologie Kombinatorik toric ideals Affine monoid Symmetrische Gruppe Halbgruppenring Lattice polytopes (including relations with commutative algebra and algebraic geometry) Mathematics
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Algebraic theory of affine monoids

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