On NN-torsion-free and NN-injective modules
W Zhao, Y Liu, Z Dong, Y Wei - Communications in Algebra, 2024 - Taylor & Francis
In this paper, we introduce the concept of NN-torsion-free modules (respectively, NN-
injective modules) as a generalization of nonnil-torsion-free modules (respectively, injective …
injective modules) as a generalization of nonnil-torsion-free modules (respectively, injective …
Comparable overrings of a commutative ring
R Kumar, A Gaur, A Singh - … zur Algebra und Geometrie/Contributions to …, 2023 - Springer
Let H be the set of all commutative rings R such that Nil (R) is a divided prime ideal of R and
let ϕ: T (R)→ R Nil (R) be a ring homomorphism defined as ϕ (x)= x for all x∈ T (R). An …
let ϕ: T (R)→ R Nil (R) be a ring homomorphism defined as ϕ (x)= x for all x∈ T (R). An …
Equations for the set of overrings of normal rings and related ring extensions
MB Nasr, A Jaballah - Czechoslovak Mathematical Journal, 2023 - Springer
We establish several finiteness characterizations and equations for the cardinality and the
length of the set of overrings of rings with nontrivial zero divisors and integrally closed in …
length of the set of overrings of rings with nontrivial zero divisors and integrally closed in …
[PDF][PDF] A generalization of conducive domains
A domain R is called conducive if every conductor ideal (R: T) is nonzero for all overrings T
of R other than the quotient field of R. Let H denote the set of all commutative rings R for …
of R other than the quotient field of R. Let H denote the set of all commutative rings R for …
[引用][C] Maximal non-nonnil-principal ideal rings
R Kumar - Journal of Algebra and Its Applications, 2024 - World Scientific
Let ℋ be the set of all commutative rings with unity whose nilradical is a divided prime ideal.
The concept of maximal non-nonnil-PIR is introduced to generalize the concept of maximal …
The concept of maximal non-nonnil-PIR is introduced to generalize the concept of maximal …