AbstractWe show that over a complete discrete valuation ring R whose residue field is algebraically closed, any Noetherian R-subalgebra of R[X] is finitely generated and present examples of non-finitely generated Noetherian R-subalgebras of R[X] satisfying various properties. We also give a sufficient codimension-one criterion for a Noetherian R-subalgebra of R[X] to be finitely generated over R when R is locally factorial
AbstractLet A be a P.I. algebra over a finite field F. Let F = R̄ = RP be the residue field of a dis...
Let R be a commutative ring with unit. We study subrings R[X; Y, lambda] of R[X][[Y]] = R[X-1, ..., ...
Given an equicharacteristic complete noetherian local ring R with algebraically closed residue field...
Let R be a noetherian domain containing the field of rationals. We show that if R is Dedekind then t...
AbstractLet R be a noetherian domain containing the field of rationals. We show that if R is Dedekin...
In this article all rings and algebras are commutative with identity, and we denote by R[x] the ring...
AbstractLet R be a commutative Noetherian local ring, and denote by modR the category of finitely ge...
Let (K,v) be a discrete rank one valued field with valuation ring R<sub>v</sub>. Let L/K be a finite...
AbstractLet R be a commutative ring with identity. We give some general results on non-Noetherian co...
AbstractLet R be a commutative ring with identity. We give some general results on non-Noetherian co...
1. Introduction This paper investigates several homotopy invariant finiteness conditions on modules ...
Let R be a commutative one-dimensional reduced local Noetherian ring whose integral closure (R) over...
AbstractFor R a commutative Noetherian ring, wide and Serre subcategories of finitely generated R-mo...
We study conditions under which subdirect products of various types of algebraic structures are fini...
AbstractLet R be Noetherian normal domain. We shall call an R-algebra A quasi A∗ if A=R[X,(aX+b)−1] ...
AbstractLet A be a P.I. algebra over a finite field F. Let F = R̄ = RP be the residue field of a dis...
Let R be a commutative ring with unit. We study subrings R[X; Y, lambda] of R[X][[Y]] = R[X-1, ..., ...
Given an equicharacteristic complete noetherian local ring R with algebraically closed residue field...
Let R be a noetherian domain containing the field of rationals. We show that if R is Dedekind then t...
AbstractLet R be a noetherian domain containing the field of rationals. We show that if R is Dedekin...
In this article all rings and algebras are commutative with identity, and we denote by R[x] the ring...
AbstractLet R be a commutative Noetherian local ring, and denote by modR the category of finitely ge...
Let (K,v) be a discrete rank one valued field with valuation ring R<sub>v</sub>. Let L/K be a finite...
AbstractLet R be a commutative ring with identity. We give some general results on non-Noetherian co...
AbstractLet R be a commutative ring with identity. We give some general results on non-Noetherian co...
1. Introduction This paper investigates several homotopy invariant finiteness conditions on modules ...
Let R be a commutative one-dimensional reduced local Noetherian ring whose integral closure (R) over...
AbstractFor R a commutative Noetherian ring, wide and Serre subcategories of finitely generated R-mo...
We study conditions under which subdirect products of various types of algebraic structures are fini...
AbstractLet R be Noetherian normal domain. We shall call an R-algebra A quasi A∗ if A=R[X,(aX+b)−1] ...
AbstractLet A be a P.I. algebra over a finite field F. Let F = R̄ = RP be the residue field of a dis...
Let R be a commutative ring with unit. We study subrings R[X; Y, lambda] of R[X][[Y]] = R[X-1, ..., ...
Given an equicharacteristic complete noetherian local ring R with algebraically closed residue field...
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