Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Trisections of module categories

100%

de la Peña J., Reiten I.

Colloquium Mathematicum

2007

tom 107

nr 2

191-219

Let A be a finite-dimensional algebra over a field k. We discuss the existence of trisections (mod₊ A,mod₀ A,mod₋ A) of the category of finitely generated modules mod A satisfying exactness, standardness, separation and adjustment conditions. Many important classes of algebras admit trisections. We describe a construction of algebras admitting a trisection of their module categories and, in special cases, we describe the structure of the components of the Auslander-Reiten quiver lying in mod₀ A.

On minimal non-tilted algebras

81%

Coelho F., de la Peña J., Trepode S.

Colloquium Mathematicum

2008

tom 111

nr 1

71-84

A minimal non-tilted triangular algebra such that any proper semiconvex subcategory is tilted is called a tilt-semicritical algebra. We study the tilt-semicritical algebras which are quasitilted or one-point extensions of tilted algebras of tame hereditary type. We establish inductive procedures to decide whether or not a given strongly simply connected algebra is tilted.

Ograniczanie wyników

2 Colloquium Mathematicum

2 de la Peña J.

1 Coelho F.

1 Reiten I.

1 Trepode S.

1 2008

1 2007

Wyniki wyszukiwania

Trisections of module categories

On minimal non-tilted algebras