definition of integers ring
Topics
About: ring
The table of contents of this article
- Starting Context
- Target Context
- Orientation
- Main Body
- 1: Structured Description
- 2: Natural Language Description
- 3: Note
Starting Context
- The reader knows a definition of ring.
Target Context
- The reader will have a definition of integers ring.
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.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\(*\mathbb{Z}\): \(= \{ \text{ the integers } \}\) with the canonical addition and the canonical multiplication
//
Conditions:
//
2: Natural Language Description
The set of the integers, \(\mathbb{Z}\), with the canonical addition and the canonical multiplication
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.
