Let k be an algebraically closed field and A be a basic finite-dimensional kalgebra of the
form A= kQ/I, where Q is a quiver (= finite oriented graph) and/is an admissible ideal of the …

Let Λ be an artin algebra. The aim of this paper is to outline a strong relationship between
the Gabriel–Roiter inclusions and the Auslander–Reiten theory. If X is a Gabriel–Roiter …

Abstract For an Artin Algebra Λ of finite representation type, the category Λ-mod, considered
as a ring with several objects, has Krull dimension zero. Contrary, for a wild hereditary Artin …

Full article: Degrees of irreducible morphisms in generalized standard coherent almost cyclic
components Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

In this work we introduce the notion of weak section and show that a translation quiver can
be embedded in a quiver of type ZA, where A is a weak section, if and only if every path from …

We extend the classification of finitely generated modules and the combinatorial description
of Auslander-Reiten sequences for finite-dimensional string algebras to infinite dimensional …

Let R be a connected selfinjective Artin algebra. We prove that any almost split sequence
ending at an Omega-perfect R-module of finite complexity has at most four non-projective …

Let A be a finite-dimensional algebra which is quasi-hereditary with respect to the poset
(Λ,≤), with standard modules Δ (λ) for λ∈ Λ. Let ℱ (Δ) be the category of A-modules which …

It is shown that a module over an Artin algebra is pure-projective if and only tf it is a direct
sum of tinite-dimensional indecomposable submodules. Conditions under which an …

Cycle-finite algebras of semiregular typeAll logo sign_in Unia Europejska A+ CATEGORY
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