630: Integral Domain

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definition of integral domain

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Topics

About: ring

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The table of contents of this article

• Starting Context
• Target Context
• Orientation
• Main Body
• 1: Structured Description
• 2: Natural Language Description

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Starting Context

• The reader knows a definition of ring.

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Target Context

• The reader will have a definition of integral domain.

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Orientation

There is a list of definitions discussed so far in this site.

There is a list of propositions discussed so far in this site.

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Main Body

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1: Structured Description

Here is the rules of Structured Description.

Entities:
$\ast R$: $\in \{\text{ the nonzero commutative rings }\}$
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Conditions:
$\mathrm{\forall }{p}_1,p_2\in R\text{ such that }{p}_1,p_2\ne 0(p_1{p}_2\ne 0)$
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2: Natural Language Description

Any nonzero commutative ring, $R$, such that for each $p_1,p_2\in R$ such that $p_1,p_2\ne 0$, $p_1{p}_2\ne 0$

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References

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