Algebraic theory of affine monoids

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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Dettagli Bibliografici
Autore principale: Katthän, Lukas
Altri autori: Welker, Volkmar (Prof. Dr.) (Relatore della tesi)
Natura: Dissertation
Lingua:inglese
Pubblicazione: Philipps-Universität Marburg 2013
Soggetti:
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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