In a previous paper the last two authors introduced a condition which gave an elementwise characterization of subintegrality for an extension A ⊆ B of commutative Q-algebras. In the present paper we show that the same condition gives an elementwise characterization of weak subintegrality for an extension A ⊆B of arbitrary commutative rings. We also give a new characterization of weakly subintegral elements in which the "coefficients" lie in A rather than B
A ring R is called nil-semicommutative if for every a, b ∈ nil(R), ab = 0 implies aRb = 0. Nielsen i...
International audienceGiven a central simple algebra with involution over an arbitrary field, étale ...
AbstractA weak approximate innerness property is introduced for abelian actions on C∗-algebras, and ...
AbstractIn a previous paper the last two authors introduced a condition which gave an elementwise ch...
We show that the isomorphism ς<SUB>B/A</SUB>: B/A → ϑ(A<SUB>∗</SUB>,B<SUB>∗</SUB>) introduced by the...
AbstractWe describe some basic facts about the weak subintegral closure of ideals in both the algebr...
AbstractWe show that the isomorphism ζB/A: B/A→I(A★,B★) introduced by the second author for a subint...
Motivated by a result of Traverso and Swan on seminormality, we prove that for a ring extension A su...
AbstractWe prove that the A[T]-submodule I(b) introduced earlier by the authors is invertible if and...
AbstractFor an ideal I of a ring A, we introduce the notion of the weak subintegral closure of I in ...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
Throughout this article, all rings will be treated as communicative with non zero identity and all m...
In order to give an elementwise characterization of a subintegral extension of ℚ-algebras, a family ...
summary:Here we consider the weak congruence lattice $C_{W}(A)$ of an algebra $A$ with the congruen...
A ring R is called nil-semicommutative if for every a, b ∈ nil(R), ab = 0 implies aRb = 0. Nielsen i...
International audienceGiven a central simple algebra with involution over an arbitrary field, étale ...
AbstractA weak approximate innerness property is introduced for abelian actions on C∗-algebras, and ...
AbstractIn a previous paper the last two authors introduced a condition which gave an elementwise ch...
We show that the isomorphism ς<SUB>B/A</SUB>: B/A → ϑ(A<SUB>∗</SUB>,B<SUB>∗</SUB>) introduced by the...
AbstractWe describe some basic facts about the weak subintegral closure of ideals in both the algebr...
AbstractWe show that the isomorphism ζB/A: B/A→I(A★,B★) introduced by the second author for a subint...
Motivated by a result of Traverso and Swan on seminormality, we prove that for a ring extension A su...
AbstractWe prove that the A[T]-submodule I(b) introduced earlier by the authors is invertible if and...
AbstractFor an ideal I of a ring A, we introduce the notion of the weak subintegral closure of I in ...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
Throughout this article, all rings will be treated as communicative with non zero identity and all m...
In order to give an elementwise characterization of a subintegral extension of ℚ-algebras, a family ...
summary:Here we consider the weak congruence lattice $C_{W}(A)$ of an algebra $A$ with the congruen...
A ring R is called nil-semicommutative if for every a, b ∈ nil(R), ab = 0 implies aRb = 0. Nielsen i...
International audienceGiven a central simple algebra with involution over an arbitrary field, étale ...
AbstractA weak approximate innerness property is introduced for abelian actions on C∗-algebras, and ...
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