… stems from the heredity chain in [18]. We show that the ADR … We start by giving the definition
of an algebra and of an Artin algebra… algebras over a field, and in particular the preprojective …

… of Δ-good modules of a quasi-hereditary algebra in terms of depth of morphisms similar to a
… postprojective partition, we say that M ∈ ℭ is a postprojective module (former preprojective …

… partition and modules (under the name of preprojective). The … 2, we assume the algebras
A to be Artin algebras, unless … a postprojective component of a hereditary algebra. The next …

… classes over hereditary algebras by support tilting modules. … ICE-closed subcategories over
hereditary algebras. More precisely, … this section, we denote by Λ a hereditary artin algebra. …

… to truncated path algebras in a fairly natural manner (note that the hereditary algebras are
… Λ, and denote by R2 the indecomposable preprojective module with top dimension 2. For …

… preprojective algebra is a noncommutative resolution over its … preprojective algebras of cycles,
then for partial multiplicative … Note that for ordinary preprojective algebras, the free product …

… we consider the case of an arbitrary hereditary artin algebra. … Note that our considerations
use duality arguments and … obvious bijection between non-nesting and non-crossing partitions. …

… A is a finite dimensional, basic and hereditary algebra over an algebraically closed field k. In
[9] … , the term algebra means artin algebra over a commutative artin ring R. For an algebra Λ, …

… an artin algebra and n ≥ 2. We study how to compute the left … For a finite dimensional
hereditary algebra H over an … Corollary 2.2 Let H be a hereditary artin algebra and f : X → …

… context of Artin–Schelter regular algebras. We … note that every path summand of a must
contain at least one nonstarred arrow. Hence, k0 = 0. But then, from the first expression, we note …