AbstractIn 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
In this paper, all rings are commutative with nonzero identity. Let M be an R -module. A proper subm...
summary:Here we consider the weak congruence lattice $C_{W}(A)$ of an algebra $A$ with the congruen...
Let A subset of B be an extension of commutative reduced rings and M subset of N an extension of pos...
In a previous paper the last two authors introduced a condition which gave an elementwise characteri...
AbstractIn a previous paper the last two authors introduced a condition which gave an elementwise ch...
AbstractWe describe some basic facts about the weak subintegral closure of ideals in both the algebr...
We show that the isomorphism ς<SUB>B/A</SUB>: B/A → ϑ(A<SUB>∗</SUB>,B<SUB>∗</SUB>) introduced by the...
AbstractWe show that the isomorphism ζB/A: B/A→I(A★,B★) introduced by the second author for a subint...
AbstractWe prove that the A[T]-submodule I(b) introduced earlier by the authors is invertible if and...
Motivated by a result of Traverso and Swan on seminormality, we prove that for a ring extension A su...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
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...
In this paper, we define and study weakly distributive modules as a proper generalization of distrib...
Throughout this article, all rings will be treated as communicative with non zero identity and all m...
In this paper, all rings are commutative with nonzero identity. Let M be an R -module. A proper subm...
summary:Here we consider the weak congruence lattice $C_{W}(A)$ of an algebra $A$ with the congruen...
Let A subset of B be an extension of commutative reduced rings and M subset of N an extension of pos...
In a previous paper the last two authors introduced a condition which gave an elementwise characteri...
AbstractIn a previous paper the last two authors introduced a condition which gave an elementwise ch...
AbstractWe describe some basic facts about the weak subintegral closure of ideals in both the algebr...
We show that the isomorphism ς<SUB>B/A</SUB>: B/A → ϑ(A<SUB>∗</SUB>,B<SUB>∗</SUB>) introduced by the...
AbstractWe show that the isomorphism ζB/A: B/A→I(A★,B★) introduced by the second author for a subint...
AbstractWe prove that the A[T]-submodule I(b) introduced earlier by the authors is invertible if and...
Motivated by a result of Traverso and Swan on seminormality, we prove that for a ring extension A su...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
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...
In this paper, we define and study weakly distributive modules as a proper generalization of distrib...
Throughout this article, all rings will be treated as communicative with non zero identity and all m...
In this paper, all rings are commutative with nonzero identity. Let M be an R -module. A proper subm...
summary:Here we consider the weak congruence lattice $C_{W}(A)$ of an algebra $A$ with the congruen...
Let A subset of B be an extension of commutative reduced rings and M subset of N an extension of pos...
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