… of Q-copresented topological left R-modules, Also CEm(0) will denote the class of topological
left R-modules which are topologically isomorphic to closed topological submodules of …

… Equivalent characterizations of left T-modules of finite … modules over the formal
triangular matrix ring is given. As an application, the FC-projective dimensions of left T-modules …

… to the category of finite dimensional modules over a finite dimensional basic algebra, which
… {O}_0\) the category of finite dimensional \(\mathbb {Z}\)-graded A-modules. We denote by \(\…

… Further, scattered among the literature is a wide array of results pertaining to module
linkage, homological dimensions, duality, and adjoint functor pairs and for which we show that …

… On the contrary, we may often use finite-dimensional … R-modules, we denote by C the
smallest subclass of R-Mod containing C and closed under taking submodules and factor modules. …

… module, which generalizes the notion of tilting module over an arbitrary ring as well as the
notion of support τtilting module over a finite dimensional … bijections between silting modules, 2…

… theory of finite-dimensional algebras tilting and cotilting modules are so closely connected
… ., Q-copresented modules, and cop(Q) for the modules which are finitely copresented by Q (…

… copresented right comodule over it is finitely copresented; this … comodules with finitely
copresented cohomology modules. Then … Proof Let d be the projective dimension of the complex …

… = EndC E is of finite K-dimension, and we study the functor DE … We say that N is finitely
copresented if there is an exact … If f :X → X is a homomorphism of left Λ-modules, we define …

… dimension for the relative dominant dimension of modules that are projective over the ground
ring. When the Krull dimension of the ground ring is one, these modules … copresentation …