… 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 …

… in the canonical embedding, which we define properly later. … {c}}\) of width s and center
\(\mathbf {c}\). If the center is the zero vector \(\mathbf{0} \), we simply omit the index \(\mathbf {c}\) …

… -canonical bases for the highest weight integrable U-modules and their tensor products
regarded as U ı -modules, as well as an ı-canonical … of U-modules with weights in X and C be the …

… 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 …

… Given a complex manifold (M, J) with \(\dim _\mathbb {C}M=n\), its canonical bundle \(K_M\) …
Complex manifolds with holomorphically trivial canonical bundle are important in differential …

… 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 …

… modules M that fit into a short exact sequence 0 → M → C → M → 0, where C belongs to a
class of modules C, the so-called C… modules with respect to an arbitrary class of modules C. …

… c (X, R) is a projective R-module. We prove that the compact support cohomology … canonical
cochain complex computing the homology of F(X, n), depending only on a tcdga model for C…

… modules from the point of view of enriched category theory. We show that by viewing persistence
modules as graded modules … ) and hence we have a canonical map \(c \rightarrow \lim F…