… modules in Mod-R and showed that over Artin algebras finitely copresented cosilting modules
… A persistence module V is called a pointwise finite dimensional representation of X if it is a …

… I ∈ inj C; call M finitely copresented if moreover Cok g is finitely … C-modules, and by fcp
C the one of finitely copresented C-… We observe by Lemma 2.1 that finite-dimensional C-modules …

… algebra A over a field, we denote the category of finite dimensional right A-modules by
mod A. … We say X induces a copresentation of N if there is a left exact sequence of C-modules …

… sequences in the category of finite dimensional modules over a finite dimensional algebra.
… where the bottom row is our fixed injective copresentation of τA. Applying ν−, we get the …

… A module extension of two comodules need not be a comodule. … is a two-dimensional
C∗-module which is not a C-comodule, but an extension of two one-dimensional C-comodules. Let …

… modules over an arbitrary ring (see [7]), as well as the notion of support τ-tilting modules over
a finite dimensional … If TC is finitely silting with respect to the injective copresentation γ : Q0 …

… dimension of A, denoted findim(A), is the supremum of the projective dimensions of modules
… of functors is a minimal injective copresentation of α(H) in (B-mod)-mod. Thus both (†) and (…

… (3) A module C is cotilting (of injective dimension at most one) if CogenpCq “ K1 C, or …
copresentation which is surjective. Silting modules and tilting modules of projective dimension at …

… In this paper we parametrise the torsion pairs in the category of finite-dimensional modules
… A module C over R is a cosilting module if there exists an injective copresentation 0 → C → E …

… HomZ(M,Q/Z) is denoted by M+, the flat dimension … modules is called an injective
copresentation of W if E0 and E1 are injective. If ϕ is an epimorphism, then the injective …