description/proof of that quotient ring of commutative ring by ideal is commutative 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: Proof
Starting Context
- The reader knows a definition of quotient ring of ring by ideal.
Target Context
- The reader will have a description and a proof of the proposition that the quotient ring of any commutative ring by any ideal is a commutative 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:
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Statements:
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2: Natural Language Description
For any commutative ring,
3: Proof
Whole Strategy: Step 1: take any 2 elements of
Step 1:
Let us take any
Step 2: