Krull-Gabriel dimension of 1-domestic string algebras Prest, Mike and Puninski, Gena 2002
MIMS EPrint: 2006.124 Manchester Inst Page 1 Krull-Gabriel dimension of 1-domestic string …

We give new properties of algebras with finite self-injective dimension coinciding with the
dominant dimension d≥ 2, which are called minimal Auslander–Gorenstein algebras in the …

Rigidity dimension of algebras is a new homological dimension which measures the quality
of resolutions of algebras by algebras of finite global dimension and large dominant …

Derived equivalence preserves many invariants of algebras, for example, the number of
irreducible representations, the finiteness of global dimension, and the algebraic K-theory …

Let k be a field and let Λ be a finite dimensional k-algebra. We prove that every bounded
complex V• of finitely generated Λ-modules has a well-defined versal deformation ring R (Λ …

We will study the resolution dimension of functorially finite subcategories. The subcategories
with the resolution dimension zero correspond to ring epimorphisms, and rejective …

We characterize subhomogeneity for twisted étale groupoid-algebras and obtain an upper
bound on their nuclear dimension. As an application, we remove the principality assumption …

An algebra extension A∣ B is right depth two if its tensor-square A⊗_BA is in the Dress
category Add_AA_B. We consider necessary conditions for right, similarly left, D2 extensions …

Recently, Yekutieli introduced projective dimension, injective dimension and flat dimension
of DG-modules by generalizing the characterization of projective dimension, injective …

The importance of the representation finite Artin algebras for the whole representation theory
of Artin algebras is well understood and there is much literature on the subject (see [1, 6 …