955: Maximal Ideal of Ring

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definition of maximal ideal of ring

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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

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Starting Context

• The reader knows a definition of ring.
• The reader knows a definition of ideal of ring.

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Target Context

• The reader will have a definition of maximal ideal of ring.

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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:
$R$: $\in \{\text{ the rings }\}$
$\ast I_b$: $\in \{\text{ the ideals of }R\}$
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Conditions:
$\{0\}\subset I_b\subset R$
$\wedge$
$\mathrm{\neg }\mathrm{\exists }{I}_b^{\prime }\in \{\text{ the ideals of }R\}(I_b\subset I_b^{\prime }\subset R)$
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References

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