definition of integral domain
Topics
About: ring
The table of contents of this article
- Starting Context
- Target Context
- Orientation
- Main Body
- 1: Structured Description
- 2: Natural Language Description
Starting Context
- The reader knows a definition of ring.
Target Context
- The reader will have a definition of integral domain.
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:
\(*R\): \(\in \{\text{ the nonzero commutative rings }\}\)
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Conditions:
\(\forall p_1, p_2 \in R \text{ such that } p_1, p_2 \neq 0 (p_1 p_2 \neq 0)\)
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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 \(p_1, p_2 \neq 0\), \(p_1 p_2 \neq 0\)
