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The Global ETD Search service is a free service for researchers
to find electronic theses and dissertations. This service is
provided by the
Networked Digital Library of Theses and Dissertations.
Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
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Showing 1 to 10 of 12 (0.007 seconds)| 1 |
Module theory over the exterior algebra with applications to combinatoricsKämpf, Gesa 17 May 2010 (has links)
Diese Arbeit entwickelt aufbauend auf bekannten Resultaten die Modultheorie über der äußeren Algebra in Teilen weiter, insbesondere werden die Tiefe eines Moduls und Moduln mit linearer injektiver Auflösung untersucht. Angewendet werden die Resultate auf die Orlik-Solomon Algebra eines Matroids.
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Dagger closureStäbler, Axel 17 January 2011 (has links)
We prove that solid closure and graded dagger closure agree for homogeneous ideals in two dimensional $\mathbb{N}$-graded domains of finite type over a field. We also prove that dagger closure is trivial for ideals in regular rings containing a field and that graded dagger closure is trivial for $\mathbb{N}$-graded regular rings of finite type over a field. Finally, we prove an inclusion result for graded dagger closure for homogeneous primary ideals in certain section rings of abelian varieties.
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Ideal Closures and Sheaf StabilitySteinbuch, Jonathan 20 January 2021 (has links)
The two main parts of this doctoral thesis are a theorem that tight closure is contained in continuous closure via axes closure on the one hand and an algorithm to decide semistability of sheaves (or geometric vector bundles) via reduction to a linear algebra problem on the other hand. The sheaf stability algorithm was explicitly implemented by the author.
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Poincaredualitätsalgebren, Koinvarianten und Wu-Klassen / Poincare Duality Algebras, Coinvariants and Wu ClassesKuhnigk, Kathrin 22 May 2003 (has links)
No description available.
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On projective resolutions of simple modules over the Borel subalgebra S^+(n, r) of the Schur algebra S(n, r) for n ≤3 / Ueber projektive Aufloesungen von einfachen Modulen ueber die Borel Unteralgebra S^+(n,r) von der Schuralgebra S(n,r) fuer n ≤3Yudin, Ivan 16 March 2007 (has links)
No description available.
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Hilbert-Kunz functions of surface rings of type ADE / Hilbert-Kunz Funktionen zweidimensionaler Ringe vom Typ ADEBrinkmann, Daniel 27 August 2013 (has links)
We compute the Hilbert-Kunz functions of two-dimensional rings of type ADE by using representations of their indecomposable, maximal
Cohen-Macaulay modules in terms of matrix factorizations, and as first syzygy modules of homogeneous ideals.
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The broken circuit complex and the Orlik - Terao algebra of a hyperplane arrangementLe, Van Dinh 17 February 2016 (has links)
My thesis is mostly concerned with algebraic and combinatorial aspects of the
theory of hyperplane arrangements. More specifically, I study the Orlik-Terao algebra of a hyperplane arrangement and the broken circuit complex of a matroid. The Orlik-Terao algebra is a useful tool for studying hyperplane arrangements, especially for characterizing some non-combinatorial properties. The broken circuit complex, on the one hand, is closely related to the Orlik-Terao algebra, and on the other hand, plays a crucial role in the study of many combinatorial problem: the coefficients of the characteristic polynomial of a matroid are encoded in the f-vector of the broken circuit complex of the matroid. Among main results of the thesis are characterizations of the complete intersection and Gorenstein properties of the broken circuit complex and the Orlik-Terao algebra. I also study the h-vector of the broken circuit complex of a series-parallel network and relate certain entries of that vector to ear decompositions of the network. An application of the Orlik-Terao algebra in studying the relation space of a hyperplane arrangement is also included in the thesis.
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On Partial Regularities and Monomial PreordersNguyen, Thi Van Anh 28 June 2018 (has links)
My PhD-project has two main research directions. The first direction is on partial regularities which we define as refinements of the Castelnuovo-Mumford regularity. Main results are: relationship of partial regularities and related invariants, like the a-invariants or the Castelnuovo-Mumford regularity of the syzygy modules; algebraic properties of partial regularities via a filter-regular sequence or a short exact sequence; generalizing a well-known result for the Castelnuovo-Mumford regularity to the case of partial regularities of stable and squarefree stable monomial ideals; finally extending an upper bound proven by Caviglia-Sbarra to partial regularities. The second direction of my project is to develop a theory on monomial preorders. Many interesting statements from the classical theory of monomial orders generalize to monomial preorders. Main results are: a characterization of monomial preorders by real matrices, which extends a result of Robbiano on monomial orders; secondly, leading term ideals with respect to monomial preorders can be studied via flat deformations of the given ideal; finally, comparing invariants of the given ideal and the leading term ideal with respect to a monomial preorder.
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Oktaven und Reduktionstheorie / Octonions and reduction theoryRoeseler, Karsten 07 February 2011 (has links)
No description available.
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Reduktionssysteme zur Berechnung einer Auflösung der orthogonalen freien Quantengruppen A<sub>o</sub>(n) / Reduction systems for computing a resolution of the free orthogonal quantum groups A<sub>o</sub>(n)Härtel, Johannes 04 July 2008 (has links)
No description available.
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