688: Integers Ring

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definition of integers 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
• 2: Natural Language Description
• 3: Note

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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 integers 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:
$\ast \mathbb{Z}$: $=\{\text{ the integers }\}$ with the canonical addition and the canonical multiplication
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Conditions:
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2: Natural Language Description

The set of the integers, $\mathbb{Z}$, with the canonical addition and the canonical multiplication

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3: Note

Its being a ring will not require a proof here; in fact, probably, the concept of 'ring' is devised with $\mathbb{Z}$ as the archetype.

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References

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