AbstractSome properties of a frequently used ring homomorphism are determined and then used to characterize asymptotic sequences in a Noetherian ring A. Then it is shown that elements b1,…, bh in the Jacobson radical of A are an asymptotic sequence if and only if b1n,…, bhn are ((b1,…, bh)nA)a-independent for all n ⩾ 1
AbstractLet J= (b0, b1, …, bh) A be an ideal in a Noetherian ring A such that b0 is nonnilpotent and...
AbstractLet I = (b1,…,bg)R (g ≥ 2) be an ideal in a Noetherian ring R, let K be the kernel of the na...
AbstractIt is well known that if I and J are ideals of a ring R (commutative with identity) and b is...
AbstractSome properties of a frequently used ring homomorphism are determined and then used to chara...
AbstractIt is well known that if I and J are ideals of a ring R (commutative with identity) and b is...
AbstractLet b1, …, bs be an asymptotic sequence over an ideal I in a Noetherian ring R and let Bi = ...
All rings in this paper are assumed to be commutative with identity, and they will generally also be...
Abstract. Let R be a right noetherian ring of Krull dimension k and denote by J its Jacobson radical...
AbstractIt is shown that ifb1,…, bs is au-essential sequence over an idealI in at Noetherian ringR, ...
Krause H. On the nilpotency of the Jacobson radical for noetherian rings. Archiv der Mathematik. 199...
Krause H. On the nilpotency of the Jacobson radical for noetherian rings. Archiv der Mathematik. 199...
AbstractLet B = (b1, ..., bg) R ⊆ I be ideals in a Noetherian ring R, let F = F(R, B) be the form ri...
AbstractLet B = (b1, ..., bg) R ⊆ I be ideals in a Noetherian ring R, let F = F(R, B) be the form ri...
We discuss three closely connected topics concerning the independence of elements in a commutative r...
AbstractIt is shown that ifb1,…, bs is au-essential sequence over an idealI in at Noetherian ringR, ...
AbstractLet J= (b0, b1, …, bh) A be an ideal in a Noetherian ring A such that b0 is nonnilpotent and...
AbstractLet I = (b1,…,bg)R (g ≥ 2) be an ideal in a Noetherian ring R, let K be the kernel of the na...
AbstractIt is well known that if I and J are ideals of a ring R (commutative with identity) and b is...
AbstractSome properties of a frequently used ring homomorphism are determined and then used to chara...
AbstractIt is well known that if I and J are ideals of a ring R (commutative with identity) and b is...
AbstractLet b1, …, bs be an asymptotic sequence over an ideal I in a Noetherian ring R and let Bi = ...
All rings in this paper are assumed to be commutative with identity, and they will generally also be...
Abstract. Let R be a right noetherian ring of Krull dimension k and denote by J its Jacobson radical...
AbstractIt is shown that ifb1,…, bs is au-essential sequence over an idealI in at Noetherian ringR, ...
Krause H. On the nilpotency of the Jacobson radical for noetherian rings. Archiv der Mathematik. 199...
Krause H. On the nilpotency of the Jacobson radical for noetherian rings. Archiv der Mathematik. 199...
AbstractLet B = (b1, ..., bg) R ⊆ I be ideals in a Noetherian ring R, let F = F(R, B) be the form ri...
AbstractLet B = (b1, ..., bg) R ⊆ I be ideals in a Noetherian ring R, let F = F(R, B) be the form ri...
We discuss three closely connected topics concerning the independence of elements in a commutative r...
AbstractIt is shown that ifb1,…, bs is au-essential sequence over an idealI in at Noetherian ringR, ...
AbstractLet J= (b0, b1, …, bh) A be an ideal in a Noetherian ring A such that b0 is nonnilpotent and...
AbstractLet I = (b1,…,bg)R (g ≥ 2) be an ideal in a Noetherian ring R, let K be the kernel of the na...
AbstractIt is well known that if I and J are ideals of a ring R (commutative with identity) and b is...