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Derived endo-discrete artin algebras

100%

Bautista R.

Colloquium Mathematicum

2006

tom 105

nr 2

297-310

Let Λ be an artin algebra. We prove that for each sequence $(h_{i})_{i∈ ℤ}$ of non-negative integers there are only a finite number of isomorphism classes of indecomposables $X ∈ 𝓓^{b}(Λ)$, the bounded derived category of Λ, with $length_{E(X)}H^{i}(X) = h_{i}$ for all i ∈ ℤ and E(X) the endomorphism ring of X in $𝓓^{b}(Λ)$ if and only if $𝓓^{b}(Mod Λ)$, the bounded derived category of the category $Mod Λ$ of all left Λ-modules, has no generic objects in the sense of [4].

On the existence of almost split sequences in subcategories

63%

Bautista R. , Kleiner M.

Banach Center Publications

1990

tom 26

nr 1

193-197

On restrictions of generic modules of tame algebras

51%

Bautista R. , Pérez E. , Salmerón L.

Open Mathematics

2013

tom 11

nr 3

423-434

Given a convex algebra ∧0 in the tame finite-dimensional basic algebra ∧, over an algebraically closed field, we describe a special type of restriction of the generic ∧-modules.

On Hom-spaces of tame algebras

51%

Bautista R. , Drozd Y. , Zeng X. , Zhang Y.

Open Mathematics

2007

tom 5

nr 2

215-263

Let Λ be a finite dimensional algebra over an algebraically closed field k and Λ has tame representation type. In this paper, the structure of Hom-spaces of all pairs of indecomposable Λ-modules having dimension smaller than or equal to a fixed natural number is described, and their dimensions are calculated in terms of a finite number of finitely generated Λ-modules and generic Λ-modules. In particular, such spaces are essentially controlled by those of the corresponding generic modules.