Let A be a connected hereditary artin algebra. We show that the set of functorially finite
torsion classes of A-modules is a lattice if and only if A is either representation-finite (thus a …

LATTICE STRUCTURE OF TORSION CLASSES FOR HEREDITARY ARTIN ALGEBRAS
Page 1 Nagoya Math. J., 231 (2018), 89–100 DOI 10.1017/nmj.2017.12 LATTICE …

For finite semidistributive lattices the map κ gives a bijection between the sets of completely
join-irreducible elements and completely meet-irreducible elements. Here we study the κ …

Let A be an artin algebra over a commutative artin ring R and mod A be the category of
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …

We prove that the component quiver ΣA of a connected self-injective artin algebra A of
infinite representation type is fully cyclic, that is, every finite set of components of the …

Given a finite acyclic quiver Q with path algebra Λ, Ingalls and Thomas have exhibited a
bijection between the set of Morita equivalence classes of support-tilting modules and the …

MODULES NOT BEING THE MIDDLE OF SHORT CHAINS Page 1 The Quarterly Journal of
Mathematics Advance Access published on December 23, 2012 Quart. J. Math. 64 (2013) …

We describe the structure of semi‐regular Auslander–Reiten components of artin algebras
without external short paths in the module category. As an application, we give a complete …

with Only Preprojective Modules Page 1 JOURNAL OF ALGEBRA 157, 472–488 (1993)
Components of Auslander–Reiten Ouivers with Only Preprojective Modules FLÁVIO ULHOA …

Let A be an artin algebra. We are interested in studying the representation theory of A, thus
the category mod A of finitely generated right A-modules. For this purpose, we fix a full …