AbstractA homogeneous set of monomials in a quotient of the polynomial ring S:=F[x1,…,xn] is called Gotzmann if the size of this set grows minimally when multiplied with the variables. We note that Gotzmann sets in the quotient R:=F[x1,…,xn]/(x1a) arise from certain Gotzmann sets in S. Secondly, we prove a combinatorial result about the deletion of a variable in a Gotzmann set in S
In this paper we characterize the componentwise lexsegment ideals which are componentwise linear and...
In this paper we characterize the componentwise lexsegment ideals which are componentwise linear and...
In this paper we characterize the componentwise lexsegment ideals which are componentwise linear and...
A homogeneous set of monomials in a quotient of the polynomial ring S:=F[x 1,..,x n] is called Gotzm...
AbstractA homogeneous set of monomials in a quotient of the polynomial ring S:=F[x1,…,xn] is called ...
Cataloged from PDF version of article.A homogeneous set of monomials in a quotient of the polynomial...
It is a widely open problem to determine which monomials in the n-variable polynomial ring K[x_1,......
AbstractGotzmann proved the persistence for minimal growth of Hilbert functions of homogeneous ideal...
We consider a diagonal action of a cyclic group of prime order on a polynomial ring F[x1,...,xn]. We...
AbstractWe study the Hilbert functions of strongly stable ideals in polynomial rings with restricted...
Gotzmann's Regularity Theorem uses a binomial representation of the Hilbert polynomial of a standard...
A long-standing theme in algebraic combinatorics is to study bases of the rings of symmetric functio...
discuss the following system: Monomials Are Uniquely Defined By Their Exponent Vectors So Computers ...
AbstractWe prove that Gotzmann's Persistence Theorem holds over every Clements–Lindström ring. We al...
AbstractBackelin proved that the multigraded Poincaré series for resolving a residue field over a po...
In this paper we characterize the componentwise lexsegment ideals which are componentwise linear and...
In this paper we characterize the componentwise lexsegment ideals which are componentwise linear and...
In this paper we characterize the componentwise lexsegment ideals which are componentwise linear and...
A homogeneous set of monomials in a quotient of the polynomial ring S:=F[x 1,..,x n] is called Gotzm...
AbstractA homogeneous set of monomials in a quotient of the polynomial ring S:=F[x1,…,xn] is called ...
Cataloged from PDF version of article.A homogeneous set of monomials in a quotient of the polynomial...
It is a widely open problem to determine which monomials in the n-variable polynomial ring K[x_1,......
AbstractGotzmann proved the persistence for minimal growth of Hilbert functions of homogeneous ideal...
We consider a diagonal action of a cyclic group of prime order on a polynomial ring F[x1,...,xn]. We...
AbstractWe study the Hilbert functions of strongly stable ideals in polynomial rings with restricted...
Gotzmann's Regularity Theorem uses a binomial representation of the Hilbert polynomial of a standard...
A long-standing theme in algebraic combinatorics is to study bases of the rings of symmetric functio...
discuss the following system: Monomials Are Uniquely Defined By Their Exponent Vectors So Computers ...
AbstractWe prove that Gotzmann's Persistence Theorem holds over every Clements–Lindström ring. We al...
AbstractBackelin proved that the multigraded Poincaré series for resolving a residue field over a po...
In this paper we characterize the componentwise lexsegment ideals which are componentwise linear and...
In this paper we characterize the componentwise lexsegment ideals which are componentwise linear and...
In this paper we characterize the componentwise lexsegment ideals which are componentwise linear and...