AbstractLet I be a monomial ideal of a polynomial ring R=K[X1,…,Xr] and d(I) the maximal degree of minimal generators of I. In this paper, we explicitly determine a number n0 in terms of r and d(I) such that Ass(R/In¯)=Ass(R/In0¯) for all n⩾n0. Furthermore, our n0 is almost sharp
Let I be a monomial ideal in a polynomial ring A = k[x1, · · · , xn] over a field k of characteri...
AbstractLet I⊂R=k[X]=k[X1,…,Xn] be an ideal in a polynomial ring over the field k. We define the ess...
AbstractWe obtain necessary and sufficient conditions for a finitely supported monomial ideal I in a...
AbstractLet I be a monomial ideal of a polynomial ring R=K[X1,…,Xr] and d(I) the maximal degree of m...
Let I be a square-free monomial ideal in a polynomial ring R = K[x(1),...,x(n)] over a field K, m = ...
We study monomial ideals in polynomial rings in two variables x, y over a field K. We determine vari...
In this thesis we classify all unmixed monomial ideals I of codimension 2 which are generically a co...
Let $S$ be a polynomial ring over a field $K$ and let $I$ be a monomial ideal of $S$. We say that $I...
[[abstract]]For the monomial ideals Q in the polynomial ring k[X1,X2,…,Xd] over a field k, we discus...
AbstractLet R be a polynomial ring over a field with r variables. Let P be a homogeneous ideal of R ...
AbstractIf R is a local integral domain let R+ denote the integral closure of R in an algebraic clos...
Let R be an integrally closed domain with quotient field K and S be the integral closure of R in a f...
AbstractAn ideal I in a Noetherian ring R is normally torsion-free if Ass(R/It)=Ass(R/I) for all t≥1...
LetR ⊆ B be rings such thatR is Noetherian andB is an intermediate ring between a Noetherian integra...
Let G be a finite simple graph on the vertex set VG with the edge set EG. Using the paths of G of le...
Let I be a monomial ideal in a polynomial ring A = k[x1, · · · , xn] over a field k of characteri...
AbstractLet I⊂R=k[X]=k[X1,…,Xn] be an ideal in a polynomial ring over the field k. We define the ess...
AbstractWe obtain necessary and sufficient conditions for a finitely supported monomial ideal I in a...
AbstractLet I be a monomial ideal of a polynomial ring R=K[X1,…,Xr] and d(I) the maximal degree of m...
Let I be a square-free monomial ideal in a polynomial ring R = K[x(1),...,x(n)] over a field K, m = ...
We study monomial ideals in polynomial rings in two variables x, y over a field K. We determine vari...
In this thesis we classify all unmixed monomial ideals I of codimension 2 which are generically a co...
Let $S$ be a polynomial ring over a field $K$ and let $I$ be a monomial ideal of $S$. We say that $I...
[[abstract]]For the monomial ideals Q in the polynomial ring k[X1,X2,…,Xd] over a field k, we discus...
AbstractLet R be a polynomial ring over a field with r variables. Let P be a homogeneous ideal of R ...
AbstractIf R is a local integral domain let R+ denote the integral closure of R in an algebraic clos...
Let R be an integrally closed domain with quotient field K and S be the integral closure of R in a f...
AbstractAn ideal I in a Noetherian ring R is normally torsion-free if Ass(R/It)=Ass(R/I) for all t≥1...
LetR ⊆ B be rings such thatR is Noetherian andB is an intermediate ring between a Noetherian integra...
Let G be a finite simple graph on the vertex set VG with the edge set EG. Using the paths of G of le...
Let I be a monomial ideal in a polynomial ring A = k[x1, · · · , xn] over a field k of characteri...
AbstractLet I⊂R=k[X]=k[X1,…,Xn] be an ideal in a polynomial ring over the field k. We define the ess...
AbstractWe obtain necessary and sufficient conditions for a finitely supported monomial ideal I in a...
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