Difference between revisions of "Ideal (mathematics)"
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m (I don't think it should be bolded twice) |
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#The product of an element of the ideal and an element of the initial ring is an element of the ideal | #The product of an element of the ideal and an element of the initial ring is an element of the ideal | ||
| − | In common usage, an | + | In common usage, an ideal is that which sought after as being the answer that is desired whether it be an object, a frame of mind, a condition, etc. |
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Revision as of 04:36, April 13, 2008
In ring theory, an ideal is defined as a subset of a ring with the following properties:
- Zero is an element of the ideal
- The ideal is closed under addition
- The product of an element of the ideal and an element of the initial ring is an element of the ideal
In common usage, an ideal is that which sought after as being the answer that is desired whether it be an object, a frame of mind, a condition, etc.