Ordered ring
Definitions
In abstract algebra, an ordered ring is a commutative ring with a total order such that
* if and , then
* if and , then .
Ordered rings are familiar from arithmetic. Examples include the integers, the rational numbers, and the real numbers.
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Encyclopedia
Definitions
In abstract algebra, an
ordered ring is a commutative ring with a total order such that
- if and , then
- if and , then .
Ordered rings are familiar from arithmetic. Examples include the integers, the rational numbers, and the real numbers.
