A homogeneous set of monomials in a quotient of the polynomial ring S:=F[x 1,..,x n] 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. © 2011 Elsevier B.V
Abstract. Let k be an infinite field and S = k[x1,..., xn] the polynomial ring over k with each degx...
Gotzmann's Regularity Theorem uses a binomial representation of the Hilbert polynomial of a standard...
We consider a diagonal action of a cyclic group of prime order on a polynomial ring F[x1,...,xn]. We...
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...
AbstractA homogeneous set of monomials in a quotient of the polynomial ring S:=F[x1,…,xn] is called ...
Ankara : The Department of Mathematics and the Institute of Engineering and Science of Bilkent Unive...
AbstractGotzmann proved the persistence for minimal growth of Hilbert functions of homogeneous ideal...
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...
It is a widely open problem to determine which monomials in the n-variable polynomial ring K[x_1,......
AbstractWe study the Hilbert functions of strongly stable ideals in polynomial rings with restricted...
AbstractIn this paper we investigate some algebraic and geometric consequences which arise from an e...
AbstractWe prove that Gotzmann's Persistence Theorem holds over every Clements–Lindström ring. We al...
Abstract. Let k be an infinite field and S = k[x1,..., xn] the polynomial ring over k with each degx...
Gotzmann's Regularity Theorem uses a binomial representation of the Hilbert polynomial of a standard...
We consider a diagonal action of a cyclic group of prime order on a polynomial ring F[x1,...,xn]. We...
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...
AbstractA homogeneous set of monomials in a quotient of the polynomial ring S:=F[x1,…,xn] is called ...
Ankara : The Department of Mathematics and the Institute of Engineering and Science of Bilkent Unive...
AbstractGotzmann proved the persistence for minimal growth of Hilbert functions of homogeneous ideal...
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...
It is a widely open problem to determine which monomials in the n-variable polynomial ring K[x_1,......
AbstractWe study the Hilbert functions of strongly stable ideals in polynomial rings with restricted...
AbstractIn this paper we investigate some algebraic and geometric consequences which arise from an e...
AbstractWe prove that Gotzmann's Persistence Theorem holds over every Clements–Lindström ring. We al...
Abstract. Let k be an infinite field and S = k[x1,..., xn] the polynomial ring over k with each degx...
Gotzmann's Regularity Theorem uses a binomial representation of the Hilbert polynomial of a standard...
We consider a diagonal action of a cyclic group of prime order on a polynomial ring F[x1,...,xn]. We...
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