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UseMinimalPrimes -- an option to only use minimal primes to calculate symbolic powers


The default value is false. When defined to be true, the symbolic power is calculated as defined in Villarreal. In particular, symbolicPower has the option to restrict to minimal primes versus use all associated primes with UseMinimalPrimes. With this option the symbolic power of an ideal $I$ is defined as $$I^{(n)} = \cap_{p \in Min(R/I)}(I^nR_p \cap R ),$$ where $Min(R/I)$, is the set of minimal primes in $I$.

R. Villarreal. "Monomial algebras" Second edition. Monographs and Research Notes in Mathematics. CRC Press, Boca Raton, FL, 2015. xviii+686 pp. ISBN: 978-1-4822-3469-5.

See also

Functions with optional argument named UseMinimalPrimes :

For the programmer

The object UseMinimalPrimes is a symbol.