Add to ORKGWe show that, given a chain 0 = P0 P1 Pn of prime ideals in a Noetherian domain R, there exist a nitely generated overring T of R and a saturated chain of primes in T contracting term by term to the given chain. We further show that there is a discrete rank n valuation overring of R whose primes contract to those of the given chain
AbstractIf R is a valuation domain of maximal ideal P with a maximal immediate extension of finite r...
Abstract. This note shows how the structure of a complete discrete val-uation ring can be derived fr...
AbstractLet D be a Noetherian domain of Krull dimension 2, and let H⊆R be integrally closed overring...
AbstractFor a Noetherian domain R (altitude R < ∞) with quotient field F, an overring I(R) of R is d...
We prove that for an arbitrary chain {P-alpha} of prime ideals in an integral domain, there exists a...
AbstractLet V be a valuation domain. It is known that V〚X1,…,Xn〛V−(0) is an n-dimensional Noetherian...
AbstractWe examine for a Noetherian domain R the relationship between the completion of R and its ul...
AbstractFor a Noetherian domain R (altitude R < ∞) with quotient field F, an overring I(R) of R is d...
AbstractFor an integral domain D of dimension n, the dimension of the polynomial ring D[x] is known ...
Abstract We survey and extend recent work on integrally closed overrings of two-dimensional Noetheri...
AbstractFor a Noetherian domain, the sets of divisorial primes, t-primes, and associated primes of p...
An ideal I of a commutative ring D with identity is called an SFT ideal if there exist a finitely ge...
We show how to construct discretely ordered principal ideal subrings of $\mathbb Q[x]$ with various ...
summary:Let $(K,\nu)$ be a valued field, where $\nu$ is a rank one discrete valuation. Let $R$ be it...
AbstractA commutative ring with unity “has n-acc” iff every ascending chain of n-generated ideals st...
AbstractIf R is a valuation domain of maximal ideal P with a maximal immediate extension of finite r...
Abstract. This note shows how the structure of a complete discrete val-uation ring can be derived fr...
AbstractLet D be a Noetherian domain of Krull dimension 2, and let H⊆R be integrally closed overring...
AbstractFor a Noetherian domain R (altitude R < ∞) with quotient field F, an overring I(R) of R is d...
We prove that for an arbitrary chain {P-alpha} of prime ideals in an integral domain, there exists a...
AbstractLet V be a valuation domain. It is known that V〚X1,…,Xn〛V−(0) is an n-dimensional Noetherian...
AbstractWe examine for a Noetherian domain R the relationship between the completion of R and its ul...
AbstractFor a Noetherian domain R (altitude R < ∞) with quotient field F, an overring I(R) of R is d...
AbstractFor an integral domain D of dimension n, the dimension of the polynomial ring D[x] is known ...
Abstract We survey and extend recent work on integrally closed overrings of two-dimensional Noetheri...
AbstractFor a Noetherian domain, the sets of divisorial primes, t-primes, and associated primes of p...
An ideal I of a commutative ring D with identity is called an SFT ideal if there exist a finitely ge...
We show how to construct discretely ordered principal ideal subrings of $\mathbb Q[x]$ with various ...
summary:Let $(K,\nu)$ be a valued field, where $\nu$ is a rank one discrete valuation. Let $R$ be it...
AbstractA commutative ring with unity “has n-acc” iff every ascending chain of n-generated ideals st...
AbstractIf R is a valuation domain of maximal ideal P with a maximal immediate extension of finite r...
Abstract. This note shows how the structure of a complete discrete val-uation ring can be derived fr...
AbstractLet D be a Noetherian domain of Krull dimension 2, and let H⊆R be integrally closed overring...