Relative Igusa-Todorov Functions and Relative Homological Dimensions

[1]  M. Lanzilotta,et al.  The Igusa–Todorov function for comodules , 2017 .

[2]  M. Lanzilotta,et al.  Igusa-Todorov functions for Artin algebras , 2016, 1605.09766.

[3]  M. Lanzilotta,et al.  The ϕ-Dimension: A New Homological Measure , 2015 .

[4]  Dengming Xu.  Generalized Igusa–Todorov function and finitistic dimensions , 2013 .

[5]  Changchang Xi,et al.  THE FINITISTIC DIMENSION CONJECTURE AND RELATIVELY PROJECTIVE MODULES , 2013 .

[6]  Octavio Mendoza Hernández,et al.  Layer Lengths, Torsion Theories and the Finitistic Dimension , 2011, Appl. Categorical Struct..

[7]  M. Lanzilotta,et al.  Self-injective Right Artinian Rings and Igusa Todorov Functions , 2011, 1101.1936.

[8]  Steffen Oppermann,et al.  Representation dimension of artin algebras , 2010 .

[9]  Overtoun M. G. Jenda,et al.  Relative homological algebra , 1956 .

[10]  Jiaqun Wei,et al.  Finitistic dimension and Igusa-Todorov algebras , 2009 .

[11]  Theo Buehler,et al.  Exact Categories , 2008, 0811.1480.

[12]  Lidia Angeleri Hugel,et al.  Homological Dimensions in Cotorsion Pairs , 2008, 0808.1585.

[13]  Changchang Xi.  On the finitistic dimension conjecture, III: Related to the pair eAe⊆A , 2008 .

[14]  M. Lanzilotta,et al.  An approach to the finitistic dimension conjecture , 2007, 0710.2328.

[15]  M. Lanzilotta,et al.  Finitistic dimension through infinite projective dimension , 2007, 0709.4253.

[16]  Idun Reiten,et al.  Homological and Homotopical Aspects of Torsion Theories , 2007 .

[17]  I. Reiten.  Handbook of Tilting Theory: Tilting theory and homologically finite subcategories with applications to quasihereditary algebras , 2007 .

[18]  Pu Zhang,et al.  Algebras of Derived Dimension Zero , 2006, math/0608377.

[19]  Octavio Mendoza,et al.  Applications of stratifying systems to the finitistic dimension , 2006 .

[20]  Changchang Xi.  On the finitistic dimension conjecture II: Related to finite global dimension , 2006 .

[21]  Julia Collins,et al.  HOMOLOGICAL ALGEBRA , 2021, Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34.

[22]  Changchang Xi.  On the finitistic dimension conjecture I: related to representation-finite algebras , 2004 .

[23]  Henrik Holm,et al.  Gorenstein homological dimensions , 2004 .

[24]  H. Holm,et al.  Gorenstein derived functors , 2004 .

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

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

[27]  I. Ágoston,et al.  Standardly Stratified Algebras and Tilting , 2000 .

[28]  G. Rozas,et al.  Covers and envelopes in the category of complexes of modules , 1999 .

[29]  E. Cline,et al.  Stratifying endomorphism algebras , 1996 .

[30]  Overtoun M. G. Jenda,et al.  Gorenstein injective and projective modules , 1995 .

[31]  B. Z. Huisgen.  The Finitistic Dimension Conjectures — A Tale of 3.5 Decades , 1995 .

[32]  Yong Wang.  A note on the finitistic dimension conjecture , 1994 .

[33]  Ø. Solberg,et al.  Relative homology and representation theory 1 , 1993 .

[34]  Ø. Solberg,et al.  Relative homology and representation theory II: Relative Cotilting theory , 1993 .

[35]  B. Keller.  Chain complexes and stable categories , 1990 .

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

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

[38]  K. Nishida.  On tilted algebras , 1983 .

[39]  Auslander Maurice,et al.  Representation Theory of Artin Algebras I , 1974 .

[40]  M. Bridger,et al.  Stable Module Theory , 1969 .

[41]  Christian Peskine,et al.  Anneaux de gorenstein, et torsion en algébre commutative , 1967 .

[42]  H. Bass.  Injective dimension in Noetherian rings , 1962 .

[43]  M. Auslander.  Relative homology and representation theory I. Relative homology and homologically finite subcategories , 2022 .