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 …

[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 …