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1	Simplicial Homology Chang, Chih-Chen 08 1900 (has links) The purpose of this thesis is to construct the homology groups of a complex over an R-module. The thesis begins with hyperplanes in Euclidean n-space. Simplexes and complexes are defined, and orientations are given to each simplex of a complex. The chains of a complex are defined, and each chain is assigned a boundary. The function which assigns to each chain a boundary defines the set of r-dimensional cycles and the set of r—dimensional bounding cycles. The quotient of those two submodules is the r-dimensional homology group. homology group complex R-module hyperplanes Euclidean n-space
2	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. 510 Mathematik Mathematics and Computer Science Reduktionssysteme Gröbnerbasis nicht-kommutative Algebra Quantengruppe orthogonale freie Quantengruppe Auflösungen Umschreibungssysteme Homologiegruppen Kohomologiegruppen Reduction System Gröbner Basis Noncommutative Algebra Free Orthogonal Quantum Group Quantum Group Resolution Term Rewriting System Homology Group Cohomology Group 31.23 EBGS 150: Finite generation finite presentability