… Noninvasive, online nanomaterial characterization techniques may be used to characterize
such high-dimension parameter spaces and provide information at reaction times on the …

… dimension then C ≡ m ( A ) has almost split sequences. In particular, for a finite dimensional
algebra A with finite strong global dimension … generated modules over a finite dimensional …

… simply the injective dimension of the projectives, while for the dominant dimension we use a
… Specifically, we show that a module M over an Artin algebra, is n-precluster tilting if and only …

… modules over certain finite dimensional algebras. We show that silting interval reduction
is compatible with τ-tilting reduction under the bijections. Using this reduction, we provide an …

… the standard module Δ𝑖 to be … modules over Λop with costandard modules over Λ. Thus
the assertion follows from Lemma 8.1.4. □ We are now able to establish finite global dimension; …

… is a coherent commutative ring of weak global dimension at most one such that every finitely
presented R-module has finite projective dimension. In this setting T comes equipped with …

… As usual, we assume throughout that A is a finite dimensional k-… simple projective module
P 1 has as a target a projective module, … We have a minimal injective copresentation of S 2 : …

… The classic tilting modules were first introduced in the context of finite-dimensional algebras
… {FP}\) is finitely T-copresented and \(T_{S}\) is a coherent module. Moreover, if there is a …

Let ( C , E , s ) be an Ext-finite, Krull-Schmidt and k-linear extriangulated category with k a
commutative artinian ring. We define an additive subcategory C r (respectively, C l ) of C in …

… dimension of the finite type module M over the Noetherian local ring R via depths, leading to
the purity for vector bundles on regular local rings of dimension … is finitely copresented as 0 …