Abstract. We study the behavior of rings with uniform symbolic topologies with respect to finite exten-sions. 1. Introduction. The purpose of this note is to make some observations related to the following question. Question 1.1. Let (R,m) be a complete local domain. Does there exist a positive integer b such that P (bn) ⊆ Pn, for all prime ideals P ⊆ R and all n ≥ 1? Here we write P (t) to denote the tth symbolic power of the prime ideal P. For any Noetherian domai
AbstractLet V be a valuation domain. It is known that V〚X1,…,Xn〛V−(0) is an n-dimensional Noetherian...
Abstract. Let T be a complete local (Noetherian) ring with maximal ideal M, P a nonmaximal ideal of ...
Let $J$ be any ideal in a strongly $F$-regular, diagonally $F$-split ring $R$ essentially of finite ...
Abstract. Let (R,m) be a local ring. We study the question of when there exists a positive integer h...
It is proved that the adic and the symbolic topologies of an ideal I of a Noetherian ring are equiva...
The results in this thesis are motivated by the following four questions: 1. (Eisenbud-Mazur conjec...
The results in this thesis are motivated by the following four questions: 1. (Eisenbud-Mazur conjec...
We prove a uniform bound on the growth of symbolic powers of arbitrary (not necessarily radical) ide...
AbstractFor an ideal I in a Noetherian ring, it is proved that the I-adic and the I-symbolic topolog...
When does a Noetherian commutative ring R have uniform symbolic topologies (USTP) on primes -- read...
When does a Noetherian commutative ring R have uniform symbolic topologies (USTP) on primes -- read...
We prove a uniform bound on the growth of symbolic powers of arbitrary (not necessarily radical) ide...
AbstractExamples are given of subrings of k[x,y] and prime ideals in these subrings for which the id...
AbstractLet I be an ideal in a Noetherian ring R and let T(I) be the ideal-transform of R with respe...
A new ring transpormation T(bA) (for each non-nilpotent b in a Noetherian ring A) is introduced and ...
AbstractLet V be a valuation domain. It is known that V〚X1,…,Xn〛V−(0) is an n-dimensional Noetherian...
Abstract. Let T be a complete local (Noetherian) ring with maximal ideal M, P a nonmaximal ideal of ...
Let $J$ be any ideal in a strongly $F$-regular, diagonally $F$-split ring $R$ essentially of finite ...
Abstract. Let (R,m) be a local ring. We study the question of when there exists a positive integer h...
It is proved that the adic and the symbolic topologies of an ideal I of a Noetherian ring are equiva...
The results in this thesis are motivated by the following four questions: 1. (Eisenbud-Mazur conjec...
The results in this thesis are motivated by the following four questions: 1. (Eisenbud-Mazur conjec...
We prove a uniform bound on the growth of symbolic powers of arbitrary (not necessarily radical) ide...
AbstractFor an ideal I in a Noetherian ring, it is proved that the I-adic and the I-symbolic topolog...
When does a Noetherian commutative ring R have uniform symbolic topologies (USTP) on primes -- read...
When does a Noetherian commutative ring R have uniform symbolic topologies (USTP) on primes -- read...
We prove a uniform bound on the growth of symbolic powers of arbitrary (not necessarily radical) ide...
AbstractExamples are given of subrings of k[x,y] and prime ideals in these subrings for which the id...
AbstractLet I be an ideal in a Noetherian ring R and let T(I) be the ideal-transform of R with respe...
A new ring transpormation T(bA) (for each non-nilpotent b in a Noetherian ring A) is introduced and ...
AbstractLet V be a valuation domain. It is known that V〚X1,…,Xn〛V−(0) is an n-dimensional Noetherian...
Abstract. Let T be a complete local (Noetherian) ring with maximal ideal M, P a nonmaximal ideal of ...
Let $J$ be any ideal in a strongly $F$-regular, diagonally $F$-split ring $R$ essentially of finite ...
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