AbstractWe obtain necessary and sufficient conditions for a finitely supported monomial ideal I in a polynomial ring of dimension at least three for MI to be integrally closed. This is obtained via the higher-dimensional analogue of the formula of Hoskin and Deligne for the length of a finitely supported ideal in a regular local ring
Let R be an integrally closed domain with quotient field K and S be the integral closure of R in a f...
In this paper, we prove a result similar to results of Itoh and Hong-Ulrich, proving that integral c...
Let R be a Noetherian commutative ring with unit 1 6 = 0, and let I be a regular proper ideal of R. ...
AbstractWe obtain necessary and sufficient conditions for a finitely supported monomial ideal I in a...
AbstractLet I be an m-primary integrally closed ideal in a 2-dimensional regular local ring R. Zaris...
Abstract. Let R be a Noetherian local ring with the maximal ideal m. Assume that R contains ideals I...
This dissertation is based on joint work with Lindsey Hill. There are two main parts, which are link...
Abstract. Let A be a Noetherian local ring with the maximal ideal m and d = dim A. The set XA of Gor...
In a two dimensional regular local ring integrally closed ideals have a unique factorization propert...
AbstractIf R is a local integral domain let R+ denote the integral closure of R in an algebraic clos...
AbstractLetDbe a domain with quotient fieldK. The polynomial closure of a subsetEofKis the largest s...
This paper was published in J. Algebra, 187 (1997), 422-445. We are grateful to Ray Heitmann for poi...
AbstractLet I be a monomial ideal of a polynomial ring R=K[X1,…,Xr] and d(I) the maximal degree of m...
In Chapter 1, classical results of Northcott and Rees and of Levin are generalized to show that for ...
There is a beautiful theory of integral closure of ideals in regular local rings of dimension two, d...
Let R be an integrally closed domain with quotient field K and S be the integral closure of R in a f...
In this paper, we prove a result similar to results of Itoh and Hong-Ulrich, proving that integral c...
Let R be a Noetherian commutative ring with unit 1 6 = 0, and let I be a regular proper ideal of R. ...
AbstractWe obtain necessary and sufficient conditions for a finitely supported monomial ideal I in a...
AbstractLet I be an m-primary integrally closed ideal in a 2-dimensional regular local ring R. Zaris...
Abstract. Let R be a Noetherian local ring with the maximal ideal m. Assume that R contains ideals I...
This dissertation is based on joint work with Lindsey Hill. There are two main parts, which are link...
Abstract. Let A be a Noetherian local ring with the maximal ideal m and d = dim A. The set XA of Gor...
In a two dimensional regular local ring integrally closed ideals have a unique factorization propert...
AbstractIf R is a local integral domain let R+ denote the integral closure of R in an algebraic clos...
AbstractLetDbe a domain with quotient fieldK. The polynomial closure of a subsetEofKis the largest s...
This paper was published in J. Algebra, 187 (1997), 422-445. We are grateful to Ray Heitmann for poi...
AbstractLet I be a monomial ideal of a polynomial ring R=K[X1,…,Xr] and d(I) the maximal degree of m...
In Chapter 1, classical results of Northcott and Rees and of Levin are generalized to show that for ...
There is a beautiful theory of integral closure of ideals in regular local rings of dimension two, d...
Let R be an integrally closed domain with quotient field K and S be the integral closure of R in a f...
In this paper, we prove a result similar to results of Itoh and Hong-Ulrich, proving that integral c...
Let R be a Noetherian commutative ring with unit 1 6 = 0, and let I be a regular proper ideal of R. ...
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