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https://www.des.nh.gov/contacts/kathy-black
Email Address: [email protected]. Office Phone: (603) 271-2956. Provides free, confidential environmental compliance assistance and pollution prevention strategies for New Hampshire businesses and organizations through the NHDES Pollution Prevention Program. Related Tags: P2Spec ADA Pollution-Prevention Hazardous Waste Compliance ...
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https://sites.dmi.uns.ac.rs/nsjom/Papers/Accepted/ns9880.pdf
P2Spec p (M). Since Mis a multiplication module, we have P= pM. Suppose p02Spec(R) and p p0. By [12, Theorem 2.1], there exists a prime submodule P 0of Msuch that (P0: M) = p0. It follows that P= pM pM= P0. Hence Psatis es the primeful property and so PS p(M) 6= ;. (b) Let Mbe a projective R-module. Let p2V(Ann(M)) and P2Spec p (M).
https://kftucker.people.uic.edu/home/notes/UniformityNote.26Apr2021.pdf
shown by Kunz in [Kun76] that [K: Kp] = [ (P) : (P)p]pht(P) for all P2Spec(R) where (P) = R P=PR P is the residue eld at P. It follows that the Hilbert-Kunz numbers equal the ratio f e(R P) = minfu>0 jthere exists a surjection R u P R 1=qg rank R P (R1=q P) between the minimal number of generators of R1=q P and the torsion-free rank of R 1=q P ...
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https://jims-a.org/index.php/jimsa/article/download/276/pdf
We show that for every N 2Spec(M), N = pM where p2Spec(R). First, we show that, if M is a multiplication R-module and N is a submodule of M, then N = (N : M)M. Since M is a multiplication R-module, hence there exists an ideal Iof Rsuch that N= IM. From this, we have I (N: M), and
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