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 …

A note on maximal non--rings

R Kumar, A Singh, A Gaur - Asian-European Journal of Mathematics, 2023 - World Scientific
A note on maximal non--rings Page 1 November 2, 2023 15:24 WSPC/246-AEJM 2350174
Asian-European Journal of Mathematics Vol. 16, No. 10 (2023) 2350174 (7 pages) c World …

A note on --rings and --rings

R Kumar, A Gaur - Rendiconti del Circolo Matematico di Palermo Series 2, 2021 - Springer
Let HH denotes the set of all commutative rings R in which the set of all nilpotent elements,
denoted by Nil (R) Nil (R), is a prime ideal of R and is comparable to every ideal of R. Let R …

[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 …