[PDF][PDF] The simple connectedness of a tame tilted algebra
I Assem, EN Marcos… - Journal of …, 2001 - ibrahim-assem.espaceweb …
Let k be an algebraically closed field. By algebra A, we mean a finite dimensional
associative k-algebra, which we assume moreover to be basic and connected. For such an …
associative k-algebra, which we assume moreover to be basic and connected. For such an …
Tilting simply connected algebras
I Assem, A Skowroński - Communications in Algebra, 1994 - Taylor & Francis
Let A be a representation-finite simply connected algebra, and TAbe an arbitrary tilting
module (in the sense of Happei and Ringel). We show that B= End TA satisfies the …
module (in the sense of Happei and Ringel). We show that B= End TA satisfies the …
[PDF][PDF] Tame quasi-tilted algebras
A Skowronski - Journal of Algebra, 1998 - core.ac.uk
Tame Quasi-tilted Algebras Page 1 Ž . JOURNAL OF ALGEBRA 203, 470490 1998 ARTICLE
NO. JA977328 Tame Quasi-tilted Algebras Andrzej Skowronski U Faculty of Mathematics and …
NO. JA977328 Tame Quasi-tilted Algebras Andrzej Skowronski U Faculty of Mathematics and …
Construction of tilted algebras
D Happel, CM Ringel - Representations of Algebras: Proceedings of the …, 2006 - Springer
A), where TA is a tilting module, with A a finite dimensional hereditary algebra, are called the
tilted algebras. The main interest in tilted algebras comes from the fact that any finite …
tilted algebras. The main interest in tilted algebras comes from the fact that any finite …
Domestic trivial extensions of simply connected algebras
I Assem, J Nehring, A Skowronski - Tsukuba journal of mathematics, 1989 - JSTOR
Let A be a finite-dimensional, basic and connected algebra (associative, with 1) over an
algebraically closed field. It is called simply connected it it is triangular and, for any …
algebraically closed field. It is called simply connected it it is triangular and, for any …
[PDF][PDF] Strongly simply connected tilted algebras
I Assem, S Liu - Ann. Sci. Math. Québec, 1997 - labmath.uqam.ca
Soit A une algebre inclinée. On montre que, si A est fortement simplement connexe, et C est
une sous-catégorie pleine et convexe de A, alors le graphe orbital de chaque composante …
une sous-catégorie pleine et convexe de A, alors le graphe orbital de chaque composante …
[引用][C] Iterated tilted algebras of type
I Assem, A Skowroński - Mathematische Zeitschrift, 1987 - Springer
Let k be an algebraically closed field and A be a finite-dimensional associative k-algebra
with an identity. We shall also assume that A is basic and connected. By an A-module we …
with an identity. We shall also assume that A is basic and connected. By an A-module we …
[引用][C] The regular components of the Auslander-Reiten quiver of a tilted algebra
CM Ringel - Chinese Annals of Mathematics, B, 1988 - pub.uni-bielefeld.de
Let B be a connected finite-dimensional hereditary algebra of inflnite representation type. It
is shown that there exists a regular tilting B-module if and only if B is wild and has at least …
is shown that there exists a regular tilting B-module if and only if B is wild and has at least …
Tilted algebras
K Bongartz - Representations of Algebras: Proceedings of the Third …, 2006 - Springer
The aim of this paper is to provide direct proofs for the main results on tilted algebras
obtained by Happel-Ringel in [9 J• It seems to us that the search for direct proofs is justified …
obtained by Happel-Ringel in [9 J• It seems to us that the search for direct proofs is justified …
[PDF][PDF] Quadratic forms and iterated tilted algebras
I Assem, A Skowroński - Journal of Algebra, 1990 - core.ac.uk
Let k be an algebraically closed field, and A bc a finite dimensional associative k-algebra
with an identity. By an A-module is always meant a right finitely generated A-module …
with an identity. By an A-module is always meant a right finitely generated A-module …