Ryo Takahashi
- FOREST unbiased Galactic plane imaging survey with the Nobeyama 45 m telescope (FUGIN). I. Project overview and initial results
2017/06/22 by Tomofumi Umemoto, Tetsuhiro Minamidani, Nario Kuno +44 · 17 citations
Physics and Astronomy · #Astrophysics and Star Formation Studies #Stellar, planetary, and galactic studies #Galaxies: Formation, Evolution, Phenomena
- Almost Gorenstein rings - towards a theory of higher dimension -
2014/03/14 by Shirô Gotô, Goto, Shiro, Ryo Takahashi +3 · 7 citations
Mathematics · #13A30 #13H10 #13H15 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
- Classifying thick subcategories of the stable category of Cohen-Macaulay modules
2009/08/02 by Ryo Takahashi, Takahashi, Ryo · 5 citations
Mathematics · #13C05 #13C14 #13H10 #16D90 #16G60 #18E30 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Syzygy modules with semidualizing or G-projective summands
2005/01/21 by Ryo Takahashi, Takahashi, Ryo · 3 citations
Mathematics · #13C13 (Primary) 13D02 #13D05 #13H05 #13H10 (Secondary) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13C13 #msc:13D02 #msc:13D05 #msc:13H05 #msc:13H10
- Rings whose ideals are isomorphic to trace ideals
2018/07/01 by Toshinori Kobayashi, Ryo Takahashi, Kobayashi, Toshinori +1 · 3 citations
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
- Homological aspects of semidualizing modules
2007/03/21 by Ryo Takahashi, Takahashi, Ryo, Diana White +1 · 3 citations
Mathematics · #13D02 #13D05 #13D07 #18G15 #18G20 #18G25 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)
- Homological invariants associated to semi-dualizing bimodules
2005/05/23 by Tokuji Araya, Ryo Takahashi, Araya, Tokuji +3 · 2 citations
Mathematics · #13D05 #13H10 #16E05 #16E10 #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AC #math.RA #msc:13D05 #msc:13H10 #msc:16E05 #msc:16E10
- Tilting and cluster tilting for quotient singularities
2010/12/29 by Osamu Iyama, Iyama, Osamu, Ryo Takahashi +1 · 2 citations
Mathematics · Physics and Astronomy · #13C60 #16G50 #18E30 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)
- Ulrich ideals and modules
2012/06/14 by Shirô Gotô, Goto, Shiro, Kazuho Ozeki +7 · 3 citations
Computer Science · Mathematics · #13A30 #13D02 #13H10 #13H15 #16G60 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Representation Theory (math.RT) #Rings, Modules, and Algebras
- 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)
- Annihilation of cohomology, generation of modules and finiteness of derived dimension
2015/04/23 by Abdolnaser Bahlekeh, Bahlekeh, Abdolnaser, Ehsan Hakimian +5 · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
- Burch ideals and Burch rings
2019/05/07 by Hailong Dao, Dao, Hailong, Toshinori Kobayashi +3 · 3 citations
Computer Science · Mathematics · #13C13 #13D09 #13H10 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Computational Drug Discovery Methods #FOS: Mathematics #Representation Theory (math.RT)
- Contravariantly finite resolving subcategories over commutative rings
2010/02/02 by Ryo Takahashi, Takahashi, Ryo · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology
- Classification of resolving subcategories and grade consistent functions
2012/02/25 by Hailong Dao, Dao, Hailong, Ryo Takahashi +1 · 1 citation
Mathematics · #13C60 (Primary) 13D05 #13H10 (Secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Classifying resolving subcategories over a Cohen-Macaulay local ring
2012/03/06 by Ryo Takahashi, Takahashi, Ryo · 1 citation
Mathematics · #13C14 #13C60 #16G60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT)
- 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
- Ulrich ideals and modules over two-dimensional rational singularities
2013/07/08 by Shirô Gotô, Kazuho Ozeki, Goto, Shiro +7 · 2 citations
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Algebraic structures and combinatorial models
- Maximal Cohen-Macaulay approximations and Serre's condition
2014/12/27 by Hiroki Matsui, Matsui, Hiroki, Ryo Takahashi +1 · 1 citation
Mathematics · #13C14 #13H10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT)
- Ulrich ideals and almost Gorenstein rings
2015/07/16 by Shirô Gotô, Goto, Shiro, Ryo Takahashi +3 · 1 citation
Mathematics · #13D07 #13H10 #13H15 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
- When are n-syzygy modules n-torsionfree?
2016/04/13 by Hiroki Matsui, Ryo Takahashi, Matsui, Hiroki +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics
- Ulrich modules over Cohen-Macaulay local rings with minimal multiplicity
2017/11/02 by Toshinori Kobayashi, Ryo Takahashi, Kobayashi, Toshinori +1 · 1 citation
Computer Science · Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Representation Theory (math.RT)
- Openness of the regular locus and generators for module categories
2018/08/10 by Srikanth B. Iyengar, Iyengar, Srikanth B., Ryo Takahashi +1 · 1 citation
Mathematics · #13D03 #13D07 #13D09 #16E30 #16E45 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings, Modules, and Algebras
- Maximal Cohen-Macaulay modules that are not locally free on the punctured spectrum
2019/03/08 by Toshinori Kobayashi, Kobayashi, Toshinori, Justin Lyle +3 · 1 citation
Mathematics · #13C60 #13H10 #16G60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
- 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)
- Comparisons between Annihilators of Tor and Ext
2020/09/15 by Souvik Dey, Dey, Souvik, Ryo Takahashi +1 · 1 citation
Mathematics · #13C60 #13D07 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
- Filtrations in module categories, derived categories and prime spectra
2019/12/23 by Hiroki Matsui, Matsui, Hiroki, Ryo Takahashi +1 · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Commutative Algebra and Its Applications
- Ring homomorphisms and local rings with quasi-decomposable maximal ideal
2023/08/28 by Saeed Nasseh, Nasseh, Saeed, Keri Ann Sather‐Wagstaff +3 · 1 citation
Computer Science · Mathematics · #13D02 #13D05 #13D07 #13H10 #18A30 #Advanced Algebra and Logic #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras