Arithmetical ring
In algebra, a commutative ring R is said to be arithmetical (or arithmetic) if any of the following equivalent conditions holds: 1.
* The localization of R at is a uniserial ring for every maximal ideal of R. 2.
* For all ideals , and , 3.
* For all ideals , and , The last two conditions both say that the lattice of all ideals of R is distributive. An arithmetical domain is the same thing as a Prüfer domain.
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Arithmetical ring
In algebra, a commutative ring R is said to be arithmetical (or arithmetic) if any of the following equivalent conditions holds: 1.
* The localization of R at is a uniserial ring for every maximal ideal of R. 2.
* For all ideals , and , 3.
* For all ideals , and , The last two conditions both say that the lattice of all ideals of R is distributive. An arithmetical domain is the same thing as a Prüfer domain.
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In algebra, a commutative ring ...... same thing as a Prüfer domain.
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Inom matematiken är en aritmet ...... ittret av alla ideal av R är .
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Arithmetical ring
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In algebra, a commutative ring ...... same thing as a Prüfer domain.
@en
Inom matematiken är en aritmet ...... ittret av alla ideal av R är .
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Arithmetical ring
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Aritmetisk ring
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