Universal side divisor: Difference between revisions
(New page: ==Definition== A nonzero element <math>x</math> in an integral domain <math>R</math> is termed a '''universal side divisor''' if <math>x</math> satisfies the following two conditions:...) |
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==Definition== | ==Definition== | ||
A nonzero element <math>x</math> in an [[ | A nonzero element <math>x</math> in an [[commutative unital ring]] <math>R</math> is termed a '''universal side divisor''' if <math>x</math> satisfies the following two conditions: | ||
* <math>x</math> is not a unit. | * <math>x</math> is not a unit. | ||
Revision as of 23:35, 22 January 2009
Definition
A nonzero element in an commutative unital ring is termed a universal side divisor if satisfies the following two conditions:
- is not a unit.
- For any , there exists a unit such that divides .
