2020Czechoslovak Mathematical JournalOpen access

$(\delta,2)$-primary ideals of a commutative ring

Gülşen Ulucak, Ece Yetki̇n Çeli̇kel

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Abstract

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.

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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.

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Available abstract

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

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