$(\delta,2)$-primary ideals of a commutative ring
Gülşen Ulucak, Ece Yetki̇n Çeli̇kel
Abstract
Open-access reader
Gülşen Ulucak, Ece Yetki̇n Çeli̇kel
Abstract
Open-access reader
In Theorem 6 of [1], if R is a von Neumann regular ring, then every 2-prime ideal of R is a prime ideal. But the converse of this implication does not hold. Thus, we correct Theorem 6 of [1] as follows: Theorem 6. Let R be a ring. If R is von Neumann regular, then every 2-prime ideal of R is a prime ideal. P r o o f . © 2020, Mathematical Institute, Academy of Sciences of Cz.
OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In Theorem 6 of [1], if R is a von Neumann regular ring, then every 2-prime ideal of R is a prime ideal. But the converse of this implication does not hold. Thus, we correct Theorem 6 of [1] as follows: Theorem 6. Let R be a ring. If R is von Neumann regular, then every 2-prime ideal of R is a prime ideal. P r o o f . © 2020, Mathematical Institute, Academy of Sciences of Cz.
Key concepts: Mathematics, Commutative ring, Commutative property, Ring (chemistry), Pure mathematics, Primary (astronomy), Associated prime, Primary ideal