Cotorsion pairs in the cluster category of a marked surface

Tilting theory and cluster combinatorics

Aslak Bakke Buan, Bethany Marsh, Markus Reineke et al. · Advances in Mathematics · 2005 · 944 citations

Natural Sciences, Mathematics, Algebra +10

Cluster algebras and triangulated surfaces. Part I: Cluster complexes

Sergey Fomin, Michael Shapiro, Dylan P. Thurston · Acta Mathematica · 2008 · 605 citations · Full text

Natural Sciences, Mathematics, Geometry +10

Auslander-reiten sequences with few middle terms and applications to string algebrass

M. C. R. Butler, Claus Michael Ringel · Communications in Algebra · 1987 · 458 citations · Full text

Natural Sciences, Mathematics, Algebra +5

Homological and homotopical aspects of torsion theories

Apostolos Beligiannis, Idun Reiten · Memoirs of the American Mathematical Society · 2007 · 409 citations

Natural Sciences, Architectural Theory, Category Management +16

Quivers with relations arising from clusters (A_n case)

HAL (Le Centre pour la Communication Scientifique Directe) · 2006 · 384 citations

Natural Sciences, Mathematics, Algebra +11