[图书][B] The repetitive algebra of a gentle algebra

CM Ringel - 1997 - math.uni-bielefeld.de
The repetitive algebra of a gentle algebra Page 1 The repetitive algebra of a gentle algebra
Claus Michael Ringel ABSTRACT. We are going to show that the repetitive algebra of a gentle …

[HTML][HTML] Combinatorial derived invariants for gentle algebras

D Avella-Alaminos, C Geiss - Journal of Pure and Applied Algebra, 2008 - Elsevier
We define derived equivalent invariants for gentle algebras, constructed in an easy
combinatorial way from the quiver with relations defining these algebras. Our invariants …

Derived classification of gentle algebras with two cycles

D Avella-Alaminos - arXiv preprint arXiv:0708.3839, 2007 - arxiv.org
We classify gentle algebras defined by quivers with two cycles under derived equivalence in
a non degenerate case, by using some combinatorial invariants constructed from the quiver …

Presentations of trivial extensions of finite dimensional algebras and a theorem of Sheila Brenner

EA Fernández, MI Platzeck - Journal of Algebra, 2002 - Elsevier
Let Λ be a finite dimensional algebra over an algebraically closed field such that any
oriented cycle in the ordinary quiver of Λ is zero in Λ. We describe the ordinary quiver and …

Tilted gentle algebras

F Huard - Communications in Algebra, 1998 - Taylor & Francis
Tilted gentle algebras Page 1 COMMUNICATIONS IN ALGEBRA, 26(1), 63-72 (1998) TILTED
GENTLE ALGEBRAS Fran~ois Huard DCpartement de MathCmatiques et Informatique, Universitk …

[HTML][HTML] Weighted locally gentle quivers and Cartan matrices

C Bessenrodt, T Holm - Journal of Pure and Applied Algebra, 2008 - Elsevier
We introduce and study the class of weighted locally gentle quivers. This naturally extends
the class of gentle quivers and gentle algebras, which have been intensively studied in the …

Almost gentle algebras and their trivial extensions

EL Green, S Schroll - Proceedings of the Edinburgh Mathematical …, 2019 - cambridge.org
In this paper we define almost gentle algebras, which are monomial special multiserial
algebras generalizing gentle algebras. We show that the trivial extension of an almost gentle …

On the quiver with relations of a repetitive algebra

J Schröer - Archiv der Mathematik, 1999 - Springer
Let A=kQ/⟨ρ⟩ be a finite-dimensional k-algebra where ρ is a set of relations for the quiver Q.
Assume that ρ contains only zero-relations or commutativity-relations. We describe explicitly …

On the combinatorics of gentle algebras

T Brüstle, G Douville, K Mousavand… - Canadian Journal of …, 2020 - cambridge.org
On the Combinatorics of Gentle Algebras Page 1 Canad. J. Math. Vol. 72 (), pp. – http://dx.doi.org/.
/SX ©Canadian Mathematical Society On the Combinatorics of Gentle Algebras omas Brüstle …

[引用][C] Modules without self-extensions over gentle algebras

J Schröer - Journal of Algebra, 1999 - Elsevier
Modules without Self-Extensions over Gentle Algebras Page 1 Ž . Journal of Algebra 216,
178189 1999 Article ID jabr.1998.7696, available online at http:rrwww.idealibrary.com on …