We consider A to be an artin algebra. We characterize the irreducible morphisms of left
degree two. We study the non-zero composition of irreducible morphisms in almost pre …

We investigate the structure of (infinite dimensional) tilting modules over hereditary artin
algebras. For connected algebras of infinite representation type with Grothendieck group of …

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 …

Let A be an artin algebra over a commutative artin ring R and ind A the category of
indecomposable finitely generated right A-modules. Denote L _A to be the full subcategory …

We describe the structure of all selfinjective artin algebras having at least three nonperiodic
generalized standard Auslander–Reiten components. In particular, all selfinjective artin …

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 …

Bazzoni had given a simple characterization of infinitely generated n-tilting modules.
Though her method is even inapplicable to classical n-tilting modules over Artin algebras …

If A is a finite dimensional hereditary k-algebra, the direct sum of a representative system of
indecomposable left (right) A-modules can be given the structure of a-usually infinite …

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 …

We provide an affirmative answer for the question raised almost 20 years ago in Reiten et
al.(Proc. Am. Math. Soc. 117: 343–354, 1993) concerning the characterization of tilted artin …