Zheng, Xinxian:
Homological properties of monomial idelas associated to quasi-trees and lattices
Duisburg-Essen, 2004
Dissertation / Fach: Mathematik
Fakultät für Mathematik
Titel:
Homological properties of monomial idelas associated to quasi-trees and lattices
Autor(in):
Zheng, Xinxian
Erscheinungsort:
Duisburg-Essen
Erscheinungsjahr:
2004
Umfang:
113 S.
URN:
DuEPublico ID:
Signatur der UB:
Notiz:
Duisburg, Essen, Univ., Diss., 2004

Abstract:

Monomials are the link between Commutative Algebra and Combinatorics. In this thesis we concentrate on monomial ideals. With a simplicial complex delta one can associate two squarefree monomial ideals: the Stanley-Reisner ideal I delta whose generators correspond to the non-faces of delta, or the facet ideal I(delta) whose generators correspond to the facets of delta. To a semi-lattice we associate a squarefree monomial, which is called Hibi ideal. The homological properties of Stanley-Reisner ideal, facet ideal and Hibi ideal are studied in this thesis.