Consistent algebras and special tilting sequences.
Countably thick modules
The purpose of this paper is to further the study of countably thick modules via weak injectivity. Among others, for some classes of modules in we study when direct sums of modules from satisfies a property in . In particular, we get characterization of locally countably thick modules, a generalization of locally q.f.d. modules.
Derived endo-discrete artin algebras
Let Λ be an artin algebra. We prove that for each sequence of non-negative integers there are only a finite number of isomorphism classes of indecomposables , the bounded derived category of Λ, with for all i ∈ ℤ and E(X) the endomorphism ring of X in if and only if , the bounded derived category of the category of all left Λ-modules, has no generic objects in the sense of [4].
Derived equivalence for cyclic blocks over a P-adic ring.
Derived tubular algebras and APR-tilts
Deriving DG categories
Die Vektorraumkategorie zu einem unzerlegbaren projektiven Modul einer tubularen Algebra.
Differentiation and splitting for lattices over orders
We extend our module-theoretic approach to Zavadskiĭ’s differentiation techniques in representation theory. Let R be a complete discrete valuation domain with quotient field K, and Λ an R-order in a finite-dimensional K-algebra. For a hereditary monomorphism u: P ↪ I of Λ-lattices we have an equivalence of quotient categories which generalizes Zavadskiĭ’s algorithms for posets and tiled orders, and Simson’s reduction algorithm for vector space categories. In this article we replace u by a more...
Directing components for quasitilted algebras
We show here that a directing component of the Auslander-Reiten quiver of a quasitilted algebra is either postprojective or preinjective or a connecting component.
Double Centralizers and Dominant Dimensions.
Dualità sul completamento naturale di un anello noetheriano
Dualities over compact rings
Duality and Completions of Linearly Topologized Modules.
Duality over Auslander-Gorenstein rings.
Duality properties of injective modules
Duality Theorem of Character Modules for Rings with Minimum Condition.
Dually slender modules and steady rings.
Embeddings of Kronecker modules into the category of prinjective modules and the endomorphism ring problem
Equivalent Categories of Divisible Modules.
Estimates of global dimension
In this note we show that for a -module, in particular, an almost -tilting module, over a ring with such that has finite flat dimension, the upper bound of the global dimension of can be estimated by the global dimension of and hence generalize the corresponding results in tilting theory and the ones in the theory of -modules. As an application, we show that for a finitely generated projective module over a VN regular ring , the global dimension of its endomorphism ring is not more...