Given a simplicial complex, it is easy to construct a generic deformation of its Stanley-Reisner ideal. The main question under investigation in this paper is how to characterize the simplicial complexes such that their Stanley-Reisner ideals have Cohen-Macaulay generic defor-mations. Algorithms are presented to construct such deformations for matroid complexes, shifted complexes, and tree complexes
AbstractThis note is a case study for the potential of liaison-theoretic methods to applications in ...
AbstractThis paper studies properties of simplicial complexes Δ with the equality IΔ(m)=IΔm for a gi...
In this thesis we \ud give a structure theorem for Cohen-Macaulay monomial ideals of \ud codim...
AbstractMonomial ideals which are generic with respect to either their generators or irreducible com...
In this paper we study simplicial complexes as higher dimensional graphs in order to produce algebra...
The notion of a sequentially Cohen-Macaulay module was introduced by Stanley [?], fol-lowing the int...
AbstractAssociated to any simplicial complex Δ on n vertices is a square-free monomial ideal IΔ in t...
This paper uses dualities between facet ideal theory and Stanley-Reisner theory to show that the fac...
For a positive integer k a class of simplicial complexes, to be denoted by CM(k), is introduced. Thi...
AbstractIn this paper, we study simplicial complexes as higher-dimensional graphs in order to produc...
In this paper we study a particular class of algebraic varieties, which are the finite unions of lin...
Abstract. For a graph G, we construct two algebras, whose dimensions are both equal to the number of...
It is shown in this paper how a solution for a combinatorial problem obtained from applying the gree...
Abstract. Let ∆ be a simplicial complex, and ∆s the shifted simplicial complex of ∆, as defined by K...
We investigate algebra structures on resolutions of a special class of Cohen-Macaulay simplicial com...
AbstractThis note is a case study for the potential of liaison-theoretic methods to applications in ...
AbstractThis paper studies properties of simplicial complexes Δ with the equality IΔ(m)=IΔm for a gi...
In this thesis we \ud give a structure theorem for Cohen-Macaulay monomial ideals of \ud codim...
AbstractMonomial ideals which are generic with respect to either their generators or irreducible com...
In this paper we study simplicial complexes as higher dimensional graphs in order to produce algebra...
The notion of a sequentially Cohen-Macaulay module was introduced by Stanley [?], fol-lowing the int...
AbstractAssociated to any simplicial complex Δ on n vertices is a square-free monomial ideal IΔ in t...
This paper uses dualities between facet ideal theory and Stanley-Reisner theory to show that the fac...
For a positive integer k a class of simplicial complexes, to be denoted by CM(k), is introduced. Thi...
AbstractIn this paper, we study simplicial complexes as higher-dimensional graphs in order to produc...
In this paper we study a particular class of algebraic varieties, which are the finite unions of lin...
Abstract. For a graph G, we construct two algebras, whose dimensions are both equal to the number of...
It is shown in this paper how a solution for a combinatorial problem obtained from applying the gree...
Abstract. Let ∆ be a simplicial complex, and ∆s the shifted simplicial complex of ∆, as defined by K...
We investigate algebra structures on resolutions of a special class of Cohen-Macaulay simplicial com...
AbstractThis note is a case study for the potential of liaison-theoretic methods to applications in ...
AbstractThis paper studies properties of simplicial complexes Δ with the equality IΔ(m)=IΔm for a gi...
In this thesis we \ud give a structure theorem for Cohen-Macaulay monomial ideals of \ud codim...
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