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Letk be an algebraically closed field andH a connected abeliank− category. We assume that
H is hereditary, that is the Yoneda Ext2 (−,−) vanishes, and we assume that H has finite …

We study suspended subcategories of the bounded derived category D b (mod H), where H
is a tame hereditary k-algebra. First, we consider U_M the smallest suspended subcategory …

In Corollary 4.2 we showed that for subcategories C of mod II closed under extensions of the
form C= Sub M there are only a finite number of nonisomorphic indecomposable objects in …

Abstract Let E=(A, S) be an exact category with enough projectives P. We introduce the
notion of support τ-tilting subcategories of E. It is compatible with the existing definitions of …

We introduce a notion of generalized Auslander–Reiten duality on a Hom-finite Krull–
Schmidt exact category 𝒞. This duality induces the generalized Auslander–Reiten …

Let $\mathscr {F} $ be an $(n+ 2) $-angulated Krull-Schmidt category and $\mathscr
{A}\subset\mathscr {F} $ an $ n $-extension closed, additive and full subcategory with …

In the present paper we describe Ext-projectives, Ext-injectives and almost split sequences
of category P 1 (Λ). We show that all almost split sequences of category P 1 (Λ) are exact …

Let Φ be a finite dimensional algebra over an algebraically closed field k and assume gldim
Φ≤ d, for some fixed positive integer d. For d= 1, Brüning proved that there is a bijection …

In [5, 6, 7] Drozd showed that the class of finite dimensional algebras over an arbitrary
algebraically closed field splits into two disjoint subclasses: representa-tion-tame algebras …