intersection ring造句

There is also a recursive characterization of local complete intersection rings that can be used as a definition, as follows.
A local complete intersection ring is a completion is the quotient of a regular local ring by an ideal generated by a regular sequence.
If \ operatorname { Spec } B is regularly embedded into a regular scheme, then " B " is a complete intersection ring.
The second deviation ? 2 vanishes exactly when the ring " R " is a complete intersection ring, in which case all the higher deviations vanish.
If " R " has dimension greater than 0 and " x " is an element in the maximal ideal that is not a zero divisor then " R " is a complete intersection ring if and only if " R " / ( " x " ) is . ( If the maximal ideal consists entirely of zero divisors then " R " is not a complete intersection ring . ) If " R " has dimension 0, then showed that it is a complete intersection ring if and only if the Fitting ideal of its maximal ideal is non-zero.
It's difficult to find intersection ring in a sentence. 用intersection ring造句挺难的

If " R " has dimension greater than 0 and " x " is an element in the maximal ideal that is not a zero divisor then " R " is a complete intersection ring if and only if " R " / ( " x " ) is . ( If the maximal ideal consists entirely of zero divisors then " R " is not a complete intersection ring . ) If " R " has dimension 0, then showed that it is a complete intersection ring if and only if the Fitting ideal of its maximal ideal is non-zero.
If " R " has dimension greater than 0 and " x " is an element in the maximal ideal that is not a zero divisor then " R " is a complete intersection ring if and only if " R " / ( " x " ) is . ( If the maximal ideal consists entirely of zero divisors then " R " is not a complete intersection ring . ) If " R " has dimension 0, then showed that it is a complete intersection ring if and only if the Fitting ideal of its maximal ideal is non-zero.