… Let C be a semidualizing module over a commutative Noether… class of modules, namely
C-canonical modules which are a … define a C-canonical module (or a canonical module for C) …

… C ⊂ Rn, and by Danilov’s Theorem the canonical module ωRn,d is the K-span of the monomials
in the relative interior of C. We … points of the cone C and a generating system for ωRn,d . …

… 2) Since the canonical ideal is not unique, even if we assume that it contains the ring and …
R, if w; C Wj for some w; and Wj it is not true that w: C wj for two general canonical ideals of R(i) …

… , graded modules defined by regular differential forms, the canonical ring of a curve. … a field
or of the form I<[t, C 1] with /{ a field, and then take a prime ideal Q C P such that ht Q = ht P - 1 …

… {C}\) induces an automorphism on K which is independent of its embedding into \(\mathbb
{C}\)… We will not discuss the canonical embedding much explicitly in the sequel, but it is a very …

… Let a between ring for E denote a subring S of Q containing the canonical … C with artinian
generator, and gives a very simple proof. His theorem states that every artinian object of C is …

… Now we acquire the first set of canonical vectors w1 and w2, which enables the canonical
… where N m;C ð Þ represents the Gaussian distribution with the mean m and variance C. The …

… We study examples of modules, in particular modules over a ring of integers understood as
… modules or module structures on sets of functions with a module as a codomain. Similarly to …

… But since lim(M —> E{) — M —> (liroEj) is an injection for any inductive system ((M -* Ei),(<f>ij))
in C, we see that every inductive system in C can be mapped into an object of …

… We develop tools for the classification of pure projective modules over commutative noetherian
… 𝒞 . The quotient category 𝒞 / ℐ is the category with the same objects as 𝒞 and with Hom …