This paper presents a discussion of the algebraic and combinatorial aspects of the theory of pure O-sequences. Various instances where pure O-sequences appear are described. Several open problems that deserve further investigation are also presented
Abstract. The purpose of this paper is (1) to highlight some recent and heretofore unpub-lished resu...
The set of -vectors of pure simplicial complexes is an important but little understood object in com...
The basic properties of distributivity and deletion of pure and o-substitution are investigated. The...
This paper presents a discussion of the algebraic and combinatorial aspects of the theory of pure O-...
Abstract. This note presents a discussion of the algebraic and combinatorial aspects of the theory o...
A monomial order ideal is a finite collection X of (monic) monomials such that, whenever M∈X and N d...
A monomial order ideal is a finite collection $ X$ of (monic) monomials such that, whenever $ M\in X...
We study Stanley’s long-standing conjecture that the h-vectors of matroid simplicial complexes are p...
AbstractLet f(Δ) = (f0, f1, …, fd−1) be the f-vector of a Cohen-Macaulay complex Δ. Björner proved t...
We look at the number L(n) of O-sequences of length n. Recall that an O-sequence can be defined alge...
AbstractLet D={d1,…,dr} be a list of positive integers. We generalize the standard binomial coeffici...
For a given abelian category o/, a category E is formed by considering exact sequences of o/. If one...
Since the 1970’s, great interest has been taken in the study of pure O-sequences, which are in bijec...
Since the 1970\u27s, great interest has been taken in the study of pure O-sequences, which, due to M...
Abstract. In this paper a new notion of an exact sequence is introduced which is called U-exact sequ...
Abstract. The purpose of this paper is (1) to highlight some recent and heretofore unpub-lished resu...
The set of -vectors of pure simplicial complexes is an important but little understood object in com...
The basic properties of distributivity and deletion of pure and o-substitution are investigated. The...
This paper presents a discussion of the algebraic and combinatorial aspects of the theory of pure O-...
Abstract. This note presents a discussion of the algebraic and combinatorial aspects of the theory o...
A monomial order ideal is a finite collection X of (monic) monomials such that, whenever M∈X and N d...
A monomial order ideal is a finite collection $ X$ of (monic) monomials such that, whenever $ M\in X...
We study Stanley’s long-standing conjecture that the h-vectors of matroid simplicial complexes are p...
AbstractLet f(Δ) = (f0, f1, …, fd−1) be the f-vector of a Cohen-Macaulay complex Δ. Björner proved t...
We look at the number L(n) of O-sequences of length n. Recall that an O-sequence can be defined alge...
AbstractLet D={d1,…,dr} be a list of positive integers. We generalize the standard binomial coeffici...
For a given abelian category o/, a category E is formed by considering exact sequences of o/. If one...
Since the 1970’s, great interest has been taken in the study of pure O-sequences, which are in bijec...
Since the 1970\u27s, great interest has been taken in the study of pure O-sequences, which, due to M...
Abstract. In this paper a new notion of an exact sequence is introduced which is called U-exact sequ...
Abstract. The purpose of this paper is (1) to highlight some recent and heretofore unpub-lished resu...
The set of -vectors of pure simplicial complexes is an important but little understood object in com...
The basic properties of distributivity and deletion of pure and o-substitution are investigated. The...