Rings in which every 2-absorbing ideal is prime (Q1646661)
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scientific article; zbMATH DE number 6894090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rings in which every 2-absorbing ideal is prime |
scientific article; zbMATH DE number 6894090 |
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Rings in which every 2-absorbing ideal is prime (English)
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25 June 2018
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The paper investigates the relationship between 2-absorbing ideals and prime ideals in a commutative ring. They show that an integral valuation domain $R$ is a 2-AB domain if and only if $P^2=P$ for every prime ideal $P$ of $R$, with $R$ is a 2-AB ring if all its 2-absorbing ideals are primes.
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2-absorbing ideal
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prime ideal
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valuation domain
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1.0000002
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0.97447217
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0.9168047
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0.91052663
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0.90598404
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0.90146893
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0.8957778
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