This paper is concerned with establishing a general method to answer questions concerning the analytic behavior of an ideal Z in a commutative Noetherian ring R. By “analytic ” we mean the analysis of R/Z ” for n> 1. Two specific questions are the most important: If Z = P is prime, when i
AbstractWe give a new constructive definition for Noetherian rings. It has a very concrete statement...
Abstract. We study prime ideals in skew power series rings T: = R[[y; τ, δ]], for suitably condition...
AbstractThe Ratliff-Rush ideal associated to a nonzero ideal I in a commutative Noetherian domain R ...
All rings in this paper are assumed to be commutative with identity, and they will generally also be...
Abstract. Let Q = (a1, a2, · · · , as) ( ( A) be an ideal in a Noetherian local ring A. Then the ...
Abstract. This paper is concerned with ideals in a commutative Noetherian ring R of prime char-acter...
Abstract. Hochster proved several criteria for when for a prime ideal P in a commutative Noetherian ...
AbstractIt is well known that if I and J are ideals of a ring R (commutative with identity) and b is...
When is an ideal of a ring radical or prime? By examining its generators, one may in many cases defi...
When is an ideal of a ring radical or prime? By examining its generators, one may in many cases defi...
This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1994-117607...
Hochster proved several criteria for the case when for a prime ideal P in a commutative Noetherian r...
AbstractThe Ratliff-Rush ideal associated to a nonzero ideal I in a commutative Noetherian domain R ...
This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1994-117607...
Let R be a Noetherian ring and I an ideal in R. Then there exists an integer k such that for all n ≥...
AbstractWe give a new constructive definition for Noetherian rings. It has a very concrete statement...
Abstract. We study prime ideals in skew power series rings T: = R[[y; τ, δ]], for suitably condition...
AbstractThe Ratliff-Rush ideal associated to a nonzero ideal I in a commutative Noetherian domain R ...
All rings in this paper are assumed to be commutative with identity, and they will generally also be...
Abstract. Let Q = (a1, a2, · · · , as) ( ( A) be an ideal in a Noetherian local ring A. Then the ...
Abstract. This paper is concerned with ideals in a commutative Noetherian ring R of prime char-acter...
Abstract. Hochster proved several criteria for when for a prime ideal P in a commutative Noetherian ...
AbstractIt is well known that if I and J are ideals of a ring R (commutative with identity) and b is...
When is an ideal of a ring radical or prime? By examining its generators, one may in many cases defi...
When is an ideal of a ring radical or prime? By examining its generators, one may in many cases defi...
This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1994-117607...
Hochster proved several criteria for the case when for a prime ideal P in a commutative Noetherian r...
AbstractThe Ratliff-Rush ideal associated to a nonzero ideal I in a commutative Noetherian domain R ...
This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1994-117607...
Let R be a Noetherian ring and I an ideal in R. Then there exists an integer k such that for all n ≥...
AbstractWe give a new constructive definition for Noetherian rings. It has a very concrete statement...
Abstract. We study prime ideals in skew power series rings T: = R[[y; τ, δ]], for suitably condition...
AbstractThe Ratliff-Rush ideal associated to a nonzero ideal I in a commutative Noetherian domain R ...