Add to ORKGAll rings in this paper are assumed to be commutative with identity, and they will generally also be Noetherian. In several recent papers the asymptotic theory of ideals in Noetherian rings has been introduced and developed. In this new theory the role
AbstractA new idealI*, the kernel coefficient ideal of a nonprincipal idealI, is introduced in a com...
Let A be a Noetherian ring, J subset of A an ideal and C a finitely generated A-module. In this note...
AbstractThe concepts of essential prime divisor, essential sequence, and essential grade are introdu...
This paper is concerned with establishing a general method to answer questions concerning the analyt...
AbstractIt is well known that if I and J are ideals of a ring R (commutative with identity) and b is...
LetR ⊆ B be rings such thatR is Noetherian andB is an intermediate ring between a Noetherian integra...
AbstractA new idealI*, the kernel coefficient ideal of a nonprincipal idealI, is introduced in a com...
AbstractLet b1, …, bs be an asymptotic sequence over an ideal I in a Noetherian ring R and let Bi = ...
ABSTRACT. The two theorems characterize the classes A and U of Noetherian domains R that have the fo...
We introduce primary ideals and prove the Lasker-Noether theorem, namely that in a noetherian ring a...
AbstractLet J= (b0, b1, …, bh) A be an ideal in a Noetherian ring A such that b0 is nonnilpotent and...
All rings in this paper are commutative, with identity. If the ring R is either finitely generated, ...
AbstractIt is shown that ifb1,…, bs is au-essential sequence over an idealI in at Noetherian ringR, ...
AbstractWe give a new constructive definition for Noetherian rings. It has a very concrete statement...
AbstractLet I1,·, Ig be proper ideals of a Noetherian ring R. Then it is shown that I1·Ig=I1∩·∩Ig=∩ ...
AbstractA new idealI*, the kernel coefficient ideal of a nonprincipal idealI, is introduced in a com...
Let A be a Noetherian ring, J subset of A an ideal and C a finitely generated A-module. In this note...
AbstractThe concepts of essential prime divisor, essential sequence, and essential grade are introdu...
This paper is concerned with establishing a general method to answer questions concerning the analyt...
AbstractIt is well known that if I and J are ideals of a ring R (commutative with identity) and b is...
LetR ⊆ B be rings such thatR is Noetherian andB is an intermediate ring between a Noetherian integra...
AbstractA new idealI*, the kernel coefficient ideal of a nonprincipal idealI, is introduced in a com...
AbstractLet b1, …, bs be an asymptotic sequence over an ideal I in a Noetherian ring R and let Bi = ...
ABSTRACT. The two theorems characterize the classes A and U of Noetherian domains R that have the fo...
We introduce primary ideals and prove the Lasker-Noether theorem, namely that in a noetherian ring a...
AbstractLet J= (b0, b1, …, bh) A be an ideal in a Noetherian ring A such that b0 is nonnilpotent and...
All rings in this paper are commutative, with identity. If the ring R is either finitely generated, ...
AbstractIt is shown that ifb1,…, bs is au-essential sequence over an idealI in at Noetherian ringR, ...
AbstractWe give a new constructive definition for Noetherian rings. It has a very concrete statement...
AbstractLet I1,·, Ig be proper ideals of a Noetherian ring R. Then it is shown that I1·Ig=I1∩·∩Ig=∩ ...
AbstractA new idealI*, the kernel coefficient ideal of a nonprincipal idealI, is introduced in a com...
Let A be a Noetherian ring, J subset of A an ideal and C a finitely generated A-module. In this note...
AbstractThe concepts of essential prime divisor, essential sequence, and essential grade are introdu...