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Osamu Iyama

  1. Maximal Modifications and Auslander-Reiten Duality for Non-isolated Singularities
    2010/07/08 by Osamu Iyama, Iyama, Osamu, Michael Wemyss +1 · 9 citations
    Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)
  2. Stable categories of Cohen-Macaulay modules and cluster categories
    2011/04/19 by Claire Amiot, Osamu Iyama, Amiot, Claire +3 · 7 citations
    Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Nonlinear Waves and Solitons
  3. Representation theory of Geigle-Lenzing complete intersections
    2014/09/02 by Martin Herschend, Osamu Iyama, Herschend, Martin +5 · 6 citations
    Mathematics · #13C14 #14F05 #16E10 #16E35 #16G50 #16G60 #18E30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  4. Stable categories of higher preprojective algebras
    2009/12/17 by Osamu Iyama, Steffen Oppermann, Iyama, Osamu +1 · 6 citations
    Mathematics · Physics and Astronomy · #16E35 #16G10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)
  5. Singular Derived Categories of Q-factorial terminalizations and Maximal Modification Algebras
    2011/08/23 by Osamu Iyama, Iyama, Osamu, Michael Wemyss +1 · 3 citations
    Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
  6. Distributive lattices and Auslander regular algebras
    2020/09/15 by Osamu Iyama, Iyama, Osamu, René Marczinzik +1 · 5 citations
    Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Combinatorial Mathematics
  7. Dimensions of triangulated categories with respect to subcategories
    2012/04/28 by Takuma Aihara, Aihara, Takuma, Tokuji Araya +7 · 2 citations
    Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  8. Classifying subcategories of modules over Noetherian algebras
    2021/06/01 by Osamu Iyama, Yuta Kimura, Iyama, Osamu +1 · 3 citations
    Mathematics · #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings, Modules, and Algebras
  9. Tilting Cohen-Macaulay representations
    2018/05/14 by Osamu Iyama, Iyama, Osamu · 4 citations
    Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Nonlinear Waves and Solitons
  10. Radical embeddings and representation dimension
    2002/10/23 by Karin Erdmann, Thorsten Holm, Erdmann, Karin +5 · 1 citation
    Mathematics · #16E05 #16E10 #16G20 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16E05 #msc:16E10 #msc:16G20
  11. Fans and polytopes in tilting theory I: Foundations
    2022/03/29 by Toshitaka Aoki, Akihiro Higashitani, Aoki, Toshitaka +7 · 3 citations
    Mathematics · #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics #Advanced Topics in Algebra
  12. A New Triangulated Category for Rational Surface Singularities
    2009/05/25 by Osamu Iyama, Iyama, Osamu, Michael Wemyss +1 · 1 citation
    Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT)
  13. Non-commutative resolutions and Grothendieck groups
    2012/05/21 by Hailong Dao, Osamu Iyama, Dao, Hailong +5 · 1 citation
    Mathematics · #13D15 #14B05 #14E15 #16G30 #18G20 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
  14. Gorenstein modifications and ℚ-Gorenstein rings
    2016/11/13 by Hailong Dao, Dao, Hailong, Osamu Iyama +5 · 3 citations
    Mathematics · #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA)