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[parent] Viewing Message
``Re: PID'' by Wkbj79 on 2006-10-15 04:49:36
Note that Mathworld defines an integral domain as having a multiplicative identity:

http://mathworld.wolfram.com/IntegralDomain.html

We use a similar definition of integral domain here on PlanetMath:

http://planetmath.org/encyclopedia/IntegralDomain.html

Thus, it makes no difference: The definitions of PID are equivalent. In a ring that has a multiplicative identity, the entire ring is *always* principal, as it is generated by the multiplicative identity.
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