… In this paper, we introduce the dual concepts of presented dimensions of R-modules. We
also, introduce the copresented dimension of any R-module M: … For any R-module M, we …

… a tilting module, without the assumption that it is cotilting, we study the global dimension of its
… If P is projective non-injective we will show that in the minimal injective copresentation of P …

… In Section 4, we prove that there exist some equivalent characterizations of graded right
modules of n-FCP-gr-projective dimension at most k on right n-grcoherent rings. We obtain …

… left modules. Then, we introduce the concept of n-weak projective right modules by using
n-super finitely copresented right modules… We also define the finitely presented dimension of R (…

… R(M, C) = 0 for every n-copresented right R-module C of injective dimension ≤ d; a ring
R is … M is finitely cogenerated if and only if it is 0-copresented, a module M is finitely copresented …

… modules are finitely presented and finitely co-presented, we … rep(Q) of locally finite dimensional
k-linear representations of Q… If M is not finitely co-presented, we show that there is at most …

… module is always an ∞-costar module. When R is a finitely dimensional K-algebra such
that R is ∞-finite-Q-copresented… We denote the class of n-finitely Q-copresented right R-modules …

… FC-projective dimensions of modules and … module Q is 0-copresented (1-copresented) if
and only if it is finitely cogenerated (finitely copresented), and every (n+1)-copresented module …

… certain subcategories of comodules called finitely copresented, which are equivalent in
those cases to categories of modules over finite dimensional algebras, at which point Drozd’s …

… category of almost finitely co-presented representations of the … Restricting to finite dimensional
modules, we shall obtain a … category of finitely co-presented representations of Qop . As a …