Auslander correspondence

[1]  K. Nishida.  Cohen–Macaulay Isolated Singularities with a Dualizing Module , 2006 .

[2]  R. Rouquier.  Representation dimension of exterior algebras , 2006 .

[3]  I. Assem,et al.  On the representation dimension of tilted and laura algebras , 2006 .

[4]  C. Geiss,et al.  Rigid modules over preprojective algebras , 2005, math/0503324.

[5]  O. Iyama.  τ-Categories III: Auslander Orders and Auslander–Reiten Quivers , 2005 .

[6]  H. Krause,et al.  Rouquier's theorem on representation dimension , 2005, math/0505055.

[7]  Xiangqian Guo.  Representation dimension: An invariant under stable equivalence , 2004 .

[8]  Osamu Iyama,et al.  Higher-dimensional Auslander–Reiten theory on maximal orthogonal subcategories , 2004, math/0407052.

[9]  F. U. Coelho,et al.  On the representation dimension of some classes of algebras , 2004 .

[10]  T. Holm,et al.  The representation dimension of domestic weakly symmetric algebras , 2004 .

[11]  C. Geiss,et al.  Semicanonical bases and preprojective algebras , 2004, math/0402448.

[12]  Claus Michael Ringel,et al.  Representations of finite dimensional algebras and related topics in Lie theory and geometry , 2004 .

[13]  I. Reiten,et al.  Tilting theory and cluster combinatorics , 2004, math/0402054.

[14]  M. Bergh.  Non-commutative Crepant Resolutions , 2002, math/0211064.

[15]  C. Geiss,et al.  Extension-orthogonal components of preprojective varieties , 2002, math/0208209.

[16]  O. Iyama.  Symmetry and duality on n-Gorenstein rings , 2003 .

[17]  O. Iyama.  Representation Dimension and Solomon Zeta Function , 2003, math/0308010.

[18]  O. Iyama.  The relationship between homological properties and representation theoretic realization of artin algebras , 2003, math/0307392.

[19]  K. Erdmann,et al.  Radical embeddings and representation dimension , 2002, math/0210362.

[20]  S. Fomin,et al.  Cluster algebras II: Finite type classification , 2002, math/0208229.

[21]  M. Bergh.  Three-dimensional flops and noncommutative rings , 2002, math/0207170.

[22]  O. Iyama.  Finiteness of representation dimension , 2002 .

[23]  Changchang Xi.  Representation Dimension and Quasi-hereditary Algebras , 2002 .

[24]  S. Goto,et al.  Towards a theory of Bass numbers with application to Gorenstein algebras , 2002 .

[25]  Kiyoshi Igusa,et al.  ON THE FINITISTIC GLOBAL DIMENSION CONJECTURE FOR ARTIN ALGEBRAS , 2002 .

[26]  S. Fomin,et al.  Cluster algebras I: Foundations , 2001, math/0104151.

[27]  John Clark.  Auslander-Gorenstein Rings for Beginners , 2001 .

[28]  Jun-ichi Miyachi.  Injective resolutions of Noetherian rings and cogenerators , 2000 .

[29]  S. Goto,et al.  Minimal injective resolutions of Cohen-Macaulay isolated singularities , 1999 .

[30]  I. Reiten,et al.  k-Gorenstein algebras and syzygy modules , 1994 .

[31]  I. Reiten,et al.  Applications of contravariantly finite subcategories , 1991 .

[32]  J. A. Peña.  On the dimension of the module-varieties of tame and weld algebras , 1991 .

[33]  Y. Yoshino,et al.  Cohen-Macaulay modules over Cohen-Macaulay rings , 1990 .

[34]  Lieven Le Bruyn,et al.  Two Dimensional Tame and Maximal Orders of Finite Representation Type , 1989 .

[35]  Miles Reid,et al.  Commutative Ring Theory , 1989 .

[36]  M. Hoshino.  On dominant dimension of Noetherian rings , 1989 .

[37]  I. Reiten,et al.  The Cohen-Macaulay type of Cohen-Macaulay rings , 1989 .

[38]  J. Björk.  The Auslander condition on noetherian rings , 1989 .

[39]  R. Buchweitz,et al.  The Homological Theory of Maximal Cohen-Macaulay Approximations , 1989 .

[40]  Dieter Happel,et al.  Triangulated categories in the representation theory of finite dimensional algebras , 1988 .

[41]  William F. Schelter,et al.  Graded algebras of global dimension 3 , 1987 .

[42]  Y. Miyashita.  Tilting modules of finite projective dimension , 1986 .

[43]  M. Artin.  Maximal orders of global dimension and Krull dimension two , 1986 .

[44]  Maurice Auslander,et al.  Rational singularities and almost split sequences , 1986 .

[45]  Maurice Auslander,et al.  Isolated singularities and existence of almost split sequences , 1986 .

[46]  M. Auslander,et al.  Almost split sequences in subcategories , 1981 .

[47]  C. Curtis,et al.  Methods of representation theory--with applications to finite groups and orders , 1981 .

[48]  Geoffrey Mason,et al.  The Santa Cruz Conference on Finite Groups , 1981 .

[49]  R. Fossum,et al.  Trivial extensions of Abelian categories : homological algebra of trivial extensions of Abelian categories with applications to ring theory , 1975 .

[50]  I. Reiten,et al.  Stable equivalence of dualizing R-varieties* , 1974 .

[51]  K. Roggenkamp,et al.  A characterization of orders of finite lattice type , 1972 .

[52]  Mark Ramras.  Maximal orders over regular local rings of dimension two , 1969 .