On Auslander-Reiten sequences of triangular matrix algebras

H Merklen - … of Finite Dimensional Algebras, CMS Conference …, 1991 - books.google.com
Some Auslander-Rieten sequences of Ã-modules are characterized, where à is a triangular
matrix algebra of the form КМ [KM] 0 These sequences may be indicated explicitly by using …

Hereditary relatively; injective subquivers and equivalence modulo preprojectives

HA Merklen - Communications in Algebra, 1990 - Taylor & Francis
An artin algebra A is said to be equivalent to an algebra A'modulo preprojectives up to the
level n if the categories mod A/add pn (A) and mod A1/add~(A'I are equivalent, Necessary …

On the category vx in the preprojective partition

LA Hügel - Communications in Algebra, 1995 - Taylor & Francis
The notion of the preprojective partition for an artin algebra was introduced by Auslander
and Smala in 1980 ([6]) and studied by several authors since then. The problems raised …

[PDF][PDF] Zº,-Hereditary Artin Algebras

LA Hügel - 1995 - core.ac.uk
Let A be an artin algebra, mod A the category of all finitely generated right A-modules, and
ind A the full subcategory of mod A consisting of the indecomposables. Auslander and …

[PDF][PDF] Modules of finite projective dimension over nice weakly triangular algebras

HA Merklen Goldschmidt - … Do Instituto De Matemática E Estatística …, 1998 - repositorio.usp.br
Let A be an artin algebra and let us consider its category of finitely generated, left modules,
mod A. In this paper it is studied, for some classes of artin algebras, the full subcategory P< …

Equivalence modulo preprojectives for algebras which are a quotient of a hereditary

HA Merklen - Communications in Algebra, 1995 - Taylor & Francis
Let 11s wcall that ali algebra. I is equivalent to a liewtlitary algel~ ra A'niotllllo~ xeprojrrti~. r:,
1111 to t, he lt.~. el 11 if tllv catrgories mod A (1 dil-pz (21) Our results in [W2] gave some …

[引用][C] P1-hereditary artin algebras

LA Hugel - Journal of Algebra, 1995 - Elsevier
Let A be an artin algebra, mod A the category of all finitely generated right A-modules, and
ind A the full subcategory of mod A consisting of the indccomposablcs. Auslander and …