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Author ID: takahashi.ryo Recent zbMATH articles by "Takahashi, Ryo"
Published as: Takahashi, Ryo
Further Spellings: 髙橋 亮
Homepage: http://www.math.nagoya-u.ac.jp/~takahashi/
External Links: MGP · Wikidata
all top 5

Serials

15 Journal of Algebra
12 Proceedings of the American Mathematical Society
8 Journal of Pure and Applied Algebra
5 Mathematische Zeitschrift
4 Communications in Algebra
4 Archiv der Mathematik
4 Bulletin of the London Mathematical Society
4 Pacific Journal of Mathematics
4 IMRN. International Mathematics Research Notices
4 Algebras and Representation Theory
3 Acta Mathematica Vietnamica
3 Illinois Journal of Mathematics
3 Journal of the Mathematical Society of Japan
3 Mathematica Scandinavica
3 Nagoya Mathematical Journal
3 The Quarterly Journal of Mathematics
3 Algebra & Number Theory
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Advances in Mathematics
2 Glasgow Mathematical Journal
2 Journal of Mathematics of Kyoto University
2 Mathematical Journal of Okayama University
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Cosmology and Astroparticle Physics
2 Kyoto Journal of Mathematics
1 Bulletin of the Australian Mathematical Society
1 American Journal of Mathematics
1 Collectanea Mathematica
1 Journal of the London Mathematical Society. Second Series
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Michigan Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Tokyo Journal of Mathematics
1 Acta Mathematica Hungarica
1 Journal of Algebraic Geometry
1 Mathematical Research Letters
1 Bulletin des Sciences Mathématiques
1 Homology, Homotopy and Applications
1 Journal of Noncommutative Geometry
1 Journal of Commutative Algebra
1 Forum of Mathematics, Sigma
1 European Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 939 times in 544 Documents Cited by Year
Homological aspects of semidualizing modules. Zbl 1193.13012
Takahashi, Ryo; White, Diana
60
2010
Almost Gorenstein rings - towards a theory of higher dimension. Zbl 1319.13017
Goto, Shiro; Takahashi, Ryo; Taniguchi, Naoki
51
2015
Classifying thick subcategories of the stable category of Cohen-Macaulay modules. Zbl 1202.13009
Takahashi, Ryo
51
2010
Local cohomology based on a nonclosed support defined by a pair of ideals. Zbl 1160.13013
Takahashi, Ryo; Yoshino, Yuji; Yoshizawa, Takeshi
47
2009
Homological invariants associated to semi-dualizing bimodules. Zbl 1096.16001
Araya, Tokuji; Takahashi, Ryo; Yoshino, Yuji
32
2005
Tilting and cluster tilting for quotient singularities. Zbl 1398.13014
Iyama, Osamu; Takahashi, Ryo
28
2013
On G-regular local rings. Zbl 1156.13009
Takahashi, Ryo
28
2008
Finite Gorenstein representation type implies simple singularity. Zbl 1148.14004
Christensen, Lars Winther; Piepmeyer, Greg; Striuli, Janet; Takahashi, Ryo
27
2008
Auslander-Reiten conjecture and Auslander-Reiten duality. Zbl 1342.13022
Celikbas, Olgur; Takahashi, Ryo
23
2013
The radius of a subcategory of modules. Zbl 1308.13015
Dao, Hailong; Takahashi, Ryo
23
2014
Non-commutative resolutions and Grothendieck groups. Zbl 1327.13053
Dao, Hailong; Iyama, Osamu; Takahashi, Ryo; Vial, Charles
22
2015
Local rings with quasi-decomposable maximal ideal. Zbl 1433.13017
Nasseh, Saeed; Takahashi, Ryo
20
2020
Syzygy modules with semidualizing or G-projective summands. Zbl 1111.13015
Takahashi, Ryo
19
2006
\(D\)-modules over rings with finite F-representation type. Zbl 1147.13001
Takagi, Shunsuke; Takahashi, Ryo
19
2008
Annihilation of cohomology and strong generation of module categories. Zbl 1355.13015
Iyengar, Srikanth B.; Takahashi, Ryo
18
2016
Classification of resolving subcategories and grade consistent functions. Zbl 1314.13024
Dao, Hailong; Takahashi, Ryo
17
2015
Ulrich ideals and modules. Zbl 1295.13018
Goto, Shiro; Ozeki, Kazuho; Takahashi, Ryo; Watanabe, Kei-Ichi; Yoshida, Ken-Ichi
17
2014
Classifying subcategories of modules over a commutative Noetherian ring. Zbl 1155.13008
Takahashi, Ryo
17
2008
Contravariantly finite resolving subcategories over commutative rings. Zbl 1216.13009
Takahashi, Ryo
15
2011
The dimension of a subcategory of modules. Zbl 1353.13011
Dao, Hailong; Takahashi, Ryo
14
2015
Singularity categories and singular equivalences for resolving subcategories. Zbl 1369.13024
Matsui, Hiroki; Takahashi, Ryo
13
2017
Modules that detect finite homological dimensions. Zbl 1337.13011
Celikbas, Olgur; Dao, Hailong; Takahashi, Ryo
13
2014
Modules in resolving subcategories which are free on the punctured spectrum. Zbl 1172.13005
Takahashi, Ryo
13
2009
Upper bounds for dimensions of singularity categories. (Bornes supérieures pour les dimensions des catégories de singularités.) Zbl 1312.13021
Dao, Hailong; Takahashi, Ryo
12
2015
On the Auslander-Reiten conjecture for Cohen-Macaulay local rings. Zbl 1374.13022
Goto, Shiro; Takahashi, Ryo
12
2017
Quasi-socle ideals in a Gorenstein local ring. Zbl 1137.13014
Goto, Shiro; Takahashi, Ryo; Matsuoka, Naoyuki
11
2008
Applications and homological properties of local rings with decomposable maximal ideals. Zbl 1402.13015
Nasseh, Saeed; Sather-Wagstaff, Sean; Takahashi, Ryo; VandeBogert, Keller
11
2019
Generators and dimensions of derived categories of modules. Zbl 1344.13011
Aihara, Takuma; Takahashi, Ryo
10
2015
Dimensions of triangulated categories with respect to subcategories. Zbl 1305.18044
Aihara, Takuma; Araya, Tokuji; Iyama, Osamu; Takahashi, Ryo; Yoshiwaki, Michio
10
2014
Ulrich ideals and modules over two-dimensional rational singularities. Zbl 1360.13028
Goto, Shiro; Ozeki, Kazuho; Takahashi, Ryo; Watanabe, Kei-Ichi; Yoshida, Ken-Ichi
10
2016
On the category of modules of Gorenstein dimension zero. Zbl 1098.13014
Takahashi, Ryo
10
2005
Classifying resolving subcategories over a Cohen-Macaulay local ring. Zbl 1267.13024
Takahashi, Ryo
10
2013
Huneke-Wiegand conjecture and change of rings. Zbl 1301.13012
Goto, Shiro; Takahashi, Ryo; Taniguchi, Naoki; Hoang Le Truong
9
2015
Ulrich ideals and almost Gorenstein rings. Zbl 1338.13043
Goto, Shiro; Takahashi, Ryo; Taniguchi, Naoki
9
2016
Some characterizations of Gorenstein local rings in terms of G-dimension. Zbl 1092.13018
Takahashi, Ryo
9
2004
Remarks on modules approximated by \(G\)-projective modules. Zbl 1109.13012
Takahashi, Ryo
9
2006
On the ideal case of a conjecture of Auslander and Reiten. Zbl 1402.13017
Celikbas, Olgur; Iima, Kei-ichiro; Sadeghi, Arash; Takahashi, Ryo
9
2018
Thick subcategories over Gorenstein local rings that are locally hypersurfaces on the punctured spectra. Zbl 1314.13029
Takahashi, Ryo
9
2013
Trace ideals of canonical modules, annihilators of Ext modules, and classes of rings close to being Gorenstein. Zbl 1471.13034
Dao, Hailong; Kobayashi, Toshinori; Takahashi, Ryo
9
2021
Burch ideals and Burch rings. Zbl 1459.13010
Dao, Hailong; Kobayashi, Toshinori; Takahashi, Ryo
9
2020
On the structure of Cohen-Macaulay modules over hypersurfaces of countable Cohen-Macaulay representation type. Zbl 1275.13009
Araya, Tokuji; Iima, Kei-ichiro; Takahashi, Ryo
8
2012
Characterizing Cohen-Macaulay local rings by Frobenius maps. Zbl 1094.13007
Takahashi, Ryo; Yoshino, Yuji
8
2004
Flat ring epimorphisms and universal localizations of commutative rings. Zbl 1467.13025
Angeleri Hügel, lidia; Marks, Frederik; Šťovíček, Jan; Takahashi, Ryo; Vitória, Jorge
8
2020
The existence of finitely generated modules of finite Gorenstein injective dimension. Zbl 1116.13011
Takahashi, Ryo
8
2006
Rings whose ideals are isomorphic to trace ideals. Zbl 1427.13008
Kobayashi, Toshinori; Takahashi, Ryo
8
2019
Thick tensor ideals of right bounded derived categories. Zbl 1386.13044
Matsui, Hiroki; Takahashi, Ryo
7
2017
A new approximation theory which unifies spherical and Cohen–Macaulay approximations. Zbl 1138.13005
Takahashi, Ryo
7
2007
Bounds on depth of tensor products of modules. Zbl 1337.13012
Celikbas, Olgur; Sadeghi, Arash; Takahashi, Ryo
6
2015
Perfect linkage of Cohen-Macaulay modules over Cohen-Macaulay rings. Zbl 1346.13021
Iima, Kei-ichiro; Takahashi, Ryo
6
2016
On the category of modules of Gorenstein dimension zero. II. Zbl 1094.13022
Takahashi, Ryo
6
2004
Gorenstein modifications and \(\mathbb{Q}\)-Gorenstein rings. Zbl 1455.14005
Dao, Hailong; Iyama, Osamu; Takahashi, Ryo; Wemyss, Michael
6
2020
Annihilation of cohomology, generation of modules and finiteness of derived dimension. Zbl 1368.13014
Bahlekeh, Abdolnaser; Hakimian, Ehsan; Salarian, Shokrollah; Takahashi, Ryo
5
2016
On the vanishing of self extensions over Cohen-Macaulay local rings. Zbl 1401.13043
Araya, Tokuji; Celikbas, Olgur; Sadeghi, Arash; Takahashi, Ryo
5
2018
On the ideal case of a conjecture of Huneke and Wiegand. Zbl 1419.13027
Celikbas, Olgur; Goto, Shiro; Takahashi, Ryo; Taniguchi, Naoki
5
2019
Ulrich modules over Cohen-Macaulay local rings with minimal multiplicity. Zbl 1423.13138
Kobayashi, Toshinori; Takahashi, Ryo
5
2018
Annihilation of cohomology and decompositions of derived categories. Zbl 1314.16007
Iyengar, Srikanth B.; Takahashi, Ryo
4
2014
Reconstruction from Koszul homology and applications to module and derived categories. Zbl 1309.18013
Takahashi, Ryo
4
2014
Brauer-Thrall for totally reflexive modules over local rings of higher dimension. Zbl 1328.13016
Celikbas, Olgur; Gheibi, Mohsen; Takahashi, Ryo
4
2014
A generalization of a theorem of Foxby. Zbl 1174.13020
Araya, Tokuji; Takahashi, Ryo
4
2009
Powers of the maximal ideal and vanishing of (co)homology. Zbl 1451.13053
Celikbas, Olgur; Takahashi, Ryo
4
2021
On vanishing of certain Ext modules. Zbl 1158.13005
Goto, Shiro; Hayasaka, Futoshi; Takahashi, Ryo
4
2008
Associated primes and syzygies of linked modules. Zbl 1453.13046
Celikbas, Olgur; Dibaei, Mohammad T.; Gheibi, Mohsen; Sadeghi, Arash; Takahashi, Ryo
4
2019
On localizing subcategories of derived categories. Zbl 1198.13011
Takahashi, Ryo
4
2009
Quasi-projective dimension. Zbl 1469.13033
Gheibi, Mohsen; Jorgensen, David A.; Takahashi, Ryo
4
2021
Extension closedness of syzygies and local Gorensteinness of commutative rings. Zbl 1375.13016
Goto, Shiro; Takahashi, Ryo
3
2016
Direct summands of syzygy modules of the residue class field. Zbl 1132.13305
Takahashi, Ryo
3
2008
When are \(n\)-syzygy modules \(n\)-torsionfree? Zbl 1453.13044
Matsui, Hiroki; Takahashi, Ryo; Tsuchiya, Yoshinao
3
2017
Noncommutative resolutions using syzygies. Zbl 1415.16007
Dao, Hailong; Iyama, Osamu; Iyengar, Srikanth B.; Takahashi, Ryo; Wemyss, Michael; Yoshino, Yuji
3
2019
On the second rigidity theorem of Huneke and Wiegand. Zbl 1411.13022
Celikbas, Olgur; Takahashi, Ryo
3
2019
Upper complete intersection dimension relative to a local homomorphism. Zbl 1058.13009
Takahashi, Ryo
3
2004
On the number of indecomposable totally reflexive modules. Zbl 1119.13010
Takahashi, Ryo
2
2007
An uncountably infinite number of indecomposable totally reflexive modules. Zbl 1129.13013
Takahashi, Ryo
2
2007
On the transitivity of degeneration of modules. Zbl 1444.16007
Takahashi, Ryo
2
2019
Openness of the regular locus and generators for module categories. Zbl 1420.13038
Iyengar, Srikanth B.; Takahashi, Ryo
2
2019
On the existence of embeddings into modules of finite homological dimensions. Zbl 1192.13014
Takahashi, Ryo; Yassemi, Siamak; Yoshino, Yuji
2
2010
On the left perpendicular category of the modules of finite projective dimension. Zbl 1251.13011
Araya, Tokuji; Iima, Kei-Ichiro; Takahashi, Ryo
2
2012
Two generalizations of Auslander-Reiten duality and applications. Zbl 1425.13006
Sadeghi, Arash; Takahashi, Ryo
2
2019
Classification of dominant resolving subcategories by moderate functions. Zbl 1485.13034
Takahashi, Ryo
2
2021
The Jacobian ideal of a commutative ring and annihilators of cohomology. Zbl 1461.13015
Iyengar, Srikanth B.; Takahashi, Ryo
2
2021
Cohomological dimensions of specialization-closed subsets and subcategories of modules. Zbl 1457.13028
Matsui, Hiroki; Tran Tuan Nam; Takahashi, Ryo; Nguyen Minh Tri; Do Ngoc Yen
2
2021
Modules of \(G\)-dimension zero over local rings of depth two. Zbl 1076.13007
Takahashi, Ryo
2
2004
On the subcategories of \(n\)-torsionfree modules and related modules. Zbl 1524.13050
Dey, Souvik; Takahashi, Ryo
2
2023
Resolving subcategories closed under certain operations and a conjecture of Dao and Takahashi. Zbl 1477.13030
Sadeghi, Arash; Takahashi, Ryo
2
2021
A characterization of modules locally of finite injective dimension. Zbl 1121.13017
Takahashi, Ryo
1
2007
Totally reflexive modules and Poincaré series. Zbl 1410.13005
Gheibi, Mohsen; Takahashi, Ryo
1
2019
Remarks on dimensions of triangulated categories. Zbl 1428.18017
Aihara, Takuma; Takahashi, Ryo
1
2019
Degenerations over \((A_{\infty})\)-singularities and construction of degenerations over commutative rings. Zbl 1408.13022
Hiramatsu, Naoya; Takahashi, Ryo; Yoshino, Yuji
1
2019
Structure of irreducible homomorphisms to/from free modules. Zbl 1396.13010
Nasseh, Saeed; Takahashi, Ryo
1
2018
A topology on the set of isomorphism classes of maximal Cohen-Macaulay modules. Zbl 1505.16023
Hiramatsu, Naoya; Takahashi, Ryo
1
2020
Intersections of resolving subcategories and intersections of thick subcategories. Zbl 1484.13033
Takahashi, Ryo
1
2021
Construction of spectra of triangulated categories and applications to commutative rings. Zbl 1458.18007
Matsui, Hiroki; Takahashi, Ryo
1
2020
Openness of FID-loci. Zbl 1106.13014
Takahashi, Ryo
1
2006
Little dimension and the improved new intersection theorem. Zbl 1442.13028
Nakamura, Tsutomu; Takahashi, Ryo; Yassemi, Siamak
1
2020
On the subcategories of \(n\)-torsionfree modules and related modules. Zbl 1524.13050
Dey, Souvik; Takahashi, Ryo
2
2023
Trace ideals of canonical modules, annihilators of Ext modules, and classes of rings close to being Gorenstein. Zbl 1471.13034
Dao, Hailong; Kobayashi, Toshinori; Takahashi, Ryo
9
2021
Powers of the maximal ideal and vanishing of (co)homology. Zbl 1451.13053
Celikbas, Olgur; Takahashi, Ryo
4
2021
Quasi-projective dimension. Zbl 1469.13033
Gheibi, Mohsen; Jorgensen, David A.; Takahashi, Ryo
4
2021
Classification of dominant resolving subcategories by moderate functions. Zbl 1485.13034
Takahashi, Ryo
2
2021
The Jacobian ideal of a commutative ring and annihilators of cohomology. Zbl 1461.13015
Iyengar, Srikanth B.; Takahashi, Ryo
2
2021
Cohomological dimensions of specialization-closed subsets and subcategories of modules. Zbl 1457.13028
Matsui, Hiroki; Tran Tuan Nam; Takahashi, Ryo; Nguyen Minh Tri; Do Ngoc Yen
2
2021
Resolving subcategories closed under certain operations and a conjecture of Dao and Takahashi. Zbl 1477.13030
Sadeghi, Arash; Takahashi, Ryo
2
2021
Intersections of resolving subcategories and intersections of thick subcategories. Zbl 1484.13033
Takahashi, Ryo
1
2021
Local rings with quasi-decomposable maximal ideal. Zbl 1433.13017
Nasseh, Saeed; Takahashi, Ryo
20
2020
Burch ideals and Burch rings. Zbl 1459.13010
Dao, Hailong; Kobayashi, Toshinori; Takahashi, Ryo
9
2020
Flat ring epimorphisms and universal localizations of commutative rings. Zbl 1467.13025
Angeleri Hügel, lidia; Marks, Frederik; Šťovíček, Jan; Takahashi, Ryo; Vitória, Jorge
8
2020
Gorenstein modifications and \(\mathbb{Q}\)-Gorenstein rings. Zbl 1455.14005
Dao, Hailong; Iyama, Osamu; Takahashi, Ryo; Wemyss, Michael
6
2020
A topology on the set of isomorphism classes of maximal Cohen-Macaulay modules. Zbl 1505.16023
Hiramatsu, Naoya; Takahashi, Ryo
1
2020
Construction of spectra of triangulated categories and applications to commutative rings. Zbl 1458.18007
Matsui, Hiroki; Takahashi, Ryo
1
2020
Little dimension and the improved new intersection theorem. Zbl 1442.13028
Nakamura, Tsutomu; Takahashi, Ryo; Yassemi, Siamak
1
2020
Applications and homological properties of local rings with decomposable maximal ideals. Zbl 1402.13015
Nasseh, Saeed; Sather-Wagstaff, Sean; Takahashi, Ryo; VandeBogert, Keller
11
2019
Rings whose ideals are isomorphic to trace ideals. Zbl 1427.13008
Kobayashi, Toshinori; Takahashi, Ryo
8
2019
On the ideal case of a conjecture of Huneke and Wiegand. Zbl 1419.13027
Celikbas, Olgur; Goto, Shiro; Takahashi, Ryo; Taniguchi, Naoki
5
2019
Associated primes and syzygies of linked modules. Zbl 1453.13046
Celikbas, Olgur; Dibaei, Mohammad T.; Gheibi, Mohsen; Sadeghi, Arash; Takahashi, Ryo
4
2019
Noncommutative resolutions using syzygies. Zbl 1415.16007
Dao, Hailong; Iyama, Osamu; Iyengar, Srikanth B.; Takahashi, Ryo; Wemyss, Michael; Yoshino, Yuji
3
2019
On the second rigidity theorem of Huneke and Wiegand. Zbl 1411.13022
Celikbas, Olgur; Takahashi, Ryo
3
2019
On the transitivity of degeneration of modules. Zbl 1444.16007
Takahashi, Ryo
2
2019
Openness of the regular locus and generators for module categories. Zbl 1420.13038
Iyengar, Srikanth B.; Takahashi, Ryo
2
2019
Two generalizations of Auslander-Reiten duality and applications. Zbl 1425.13006
Sadeghi, Arash; Takahashi, Ryo
2
2019
Totally reflexive modules and Poincaré series. Zbl 1410.13005
Gheibi, Mohsen; Takahashi, Ryo
1
2019
Remarks on dimensions of triangulated categories. Zbl 1428.18017
Aihara, Takuma; Takahashi, Ryo
1
2019
Degenerations over \((A_{\infty})\)-singularities and construction of degenerations over commutative rings. Zbl 1408.13022
Hiramatsu, Naoya; Takahashi, Ryo; Yoshino, Yuji
1
2019
On the ideal case of a conjecture of Auslander and Reiten. Zbl 1402.13017
Celikbas, Olgur; Iima, Kei-ichiro; Sadeghi, Arash; Takahashi, Ryo
9
2018
On the vanishing of self extensions over Cohen-Macaulay local rings. Zbl 1401.13043
Araya, Tokuji; Celikbas, Olgur; Sadeghi, Arash; Takahashi, Ryo
5
2018
Ulrich modules over Cohen-Macaulay local rings with minimal multiplicity. Zbl 1423.13138
Kobayashi, Toshinori; Takahashi, Ryo
5
2018
Structure of irreducible homomorphisms to/from free modules. Zbl 1396.13010
Nasseh, Saeed; Takahashi, Ryo
1
2018
Singularity categories and singular equivalences for resolving subcategories. Zbl 1369.13024
Matsui, Hiroki; Takahashi, Ryo
13
2017
On the Auslander-Reiten conjecture for Cohen-Macaulay local rings. Zbl 1374.13022
Goto, Shiro; Takahashi, Ryo
12
2017
Thick tensor ideals of right bounded derived categories. Zbl 1386.13044
Matsui, Hiroki; Takahashi, Ryo
7
2017
When are \(n\)-syzygy modules \(n\)-torsionfree? Zbl 1453.13044
Matsui, Hiroki; Takahashi, Ryo; Tsuchiya, Yoshinao
3
2017
Annihilation of cohomology and strong generation of module categories. Zbl 1355.13015
Iyengar, Srikanth B.; Takahashi, Ryo
18
2016
Ulrich ideals and modules over two-dimensional rational singularities. Zbl 1360.13028
Goto, Shiro; Ozeki, Kazuho; Takahashi, Ryo; Watanabe, Kei-Ichi; Yoshida, Ken-Ichi
10
2016
Ulrich ideals and almost Gorenstein rings. Zbl 1338.13043
Goto, Shiro; Takahashi, Ryo; Taniguchi, Naoki
9
2016
Perfect linkage of Cohen-Macaulay modules over Cohen-Macaulay rings. Zbl 1346.13021
Iima, Kei-ichiro; Takahashi, Ryo
6
2016
Annihilation of cohomology, generation of modules and finiteness of derived dimension. Zbl 1368.13014
Bahlekeh, Abdolnaser; Hakimian, Ehsan; Salarian, Shokrollah; Takahashi, Ryo
5
2016
Extension closedness of syzygies and local Gorensteinness of commutative rings. Zbl 1375.13016
Goto, Shiro; Takahashi, Ryo
3
2016
Almost Gorenstein rings - towards a theory of higher dimension. Zbl 1319.13017
Goto, Shiro; Takahashi, Ryo; Taniguchi, Naoki
51
2015
Non-commutative resolutions and Grothendieck groups. Zbl 1327.13053
Dao, Hailong; Iyama, Osamu; Takahashi, Ryo; Vial, Charles
22
2015
Classification of resolving subcategories and grade consistent functions. Zbl 1314.13024
Dao, Hailong; Takahashi, Ryo
17
2015
The dimension of a subcategory of modules. Zbl 1353.13011
Dao, Hailong; Takahashi, Ryo
14
2015
Upper bounds for dimensions of singularity categories. (Bornes supérieures pour les dimensions des catégories de singularités.) Zbl 1312.13021
Dao, Hailong; Takahashi, Ryo
12
2015
Generators and dimensions of derived categories of modules. Zbl 1344.13011
Aihara, Takuma; Takahashi, Ryo
10
2015
Huneke-Wiegand conjecture and change of rings. Zbl 1301.13012
Goto, Shiro; Takahashi, Ryo; Taniguchi, Naoki; Hoang Le Truong
9
2015
Bounds on depth of tensor products of modules. Zbl 1337.13012
Celikbas, Olgur; Sadeghi, Arash; Takahashi, Ryo
6
2015
The radius of a subcategory of modules. Zbl 1308.13015
Dao, Hailong; Takahashi, Ryo
23
2014
Ulrich ideals and modules. Zbl 1295.13018
Goto, Shiro; Ozeki, Kazuho; Takahashi, Ryo; Watanabe, Kei-Ichi; Yoshida, Ken-Ichi
17
2014
Modules that detect finite homological dimensions. Zbl 1337.13011
Celikbas, Olgur; Dao, Hailong; Takahashi, Ryo
13
2014
Dimensions of triangulated categories with respect to subcategories. Zbl 1305.18044
Aihara, Takuma; Araya, Tokuji; Iyama, Osamu; Takahashi, Ryo; Yoshiwaki, Michio
10
2014
Annihilation of cohomology and decompositions of derived categories. Zbl 1314.16007
Iyengar, Srikanth B.; Takahashi, Ryo
4
2014
Reconstruction from Koszul homology and applications to module and derived categories. Zbl 1309.18013
Takahashi, Ryo
4
2014
Brauer-Thrall for totally reflexive modules over local rings of higher dimension. Zbl 1328.13016
Celikbas, Olgur; Gheibi, Mohsen; Takahashi, Ryo
4
2014
Tilting and cluster tilting for quotient singularities. Zbl 1398.13014
Iyama, Osamu; Takahashi, Ryo
28
2013
Auslander-Reiten conjecture and Auslander-Reiten duality. Zbl 1342.13022
Celikbas, Olgur; Takahashi, Ryo
23
2013
Classifying resolving subcategories over a Cohen-Macaulay local ring. Zbl 1267.13024
Takahashi, Ryo
10
2013
Thick subcategories over Gorenstein local rings that are locally hypersurfaces on the punctured spectra. Zbl 1314.13029
Takahashi, Ryo
9
2013
On the structure of Cohen-Macaulay modules over hypersurfaces of countable Cohen-Macaulay representation type. Zbl 1275.13009
Araya, Tokuji; Iima, Kei-ichiro; Takahashi, Ryo
8
2012
On the left perpendicular category of the modules of finite projective dimension. Zbl 1251.13011
Araya, Tokuji; Iima, Kei-Ichiro; Takahashi, Ryo
2
2012
Contravariantly finite resolving subcategories over commutative rings. Zbl 1216.13009
Takahashi, Ryo
15
2011
Homological aspects of semidualizing modules. Zbl 1193.13012
Takahashi, Ryo; White, Diana
60
2010
Classifying thick subcategories of the stable category of Cohen-Macaulay modules. Zbl 1202.13009
Takahashi, Ryo
51
2010
On the existence of embeddings into modules of finite homological dimensions. Zbl 1192.13014
Takahashi, Ryo; Yassemi, Siamak; Yoshino, Yuji
2
2010
Local cohomology based on a nonclosed support defined by a pair of ideals. Zbl 1160.13013
Takahashi, Ryo; Yoshino, Yuji; Yoshizawa, Takeshi
47
2009
Modules in resolving subcategories which are free on the punctured spectrum. Zbl 1172.13005
Takahashi, Ryo
13
2009
A generalization of a theorem of Foxby. Zbl 1174.13020
Araya, Tokuji; Takahashi, Ryo
4
2009
On localizing subcategories of derived categories. Zbl 1198.13011
Takahashi, Ryo
4
2009
On G-regular local rings. Zbl 1156.13009
Takahashi, Ryo
28
2008
Finite Gorenstein representation type implies simple singularity. Zbl 1148.14004
Christensen, Lars Winther; Piepmeyer, Greg; Striuli, Janet; Takahashi, Ryo
27
2008
\(D\)-modules over rings with finite F-representation type. Zbl 1147.13001
Takagi, Shunsuke; Takahashi, Ryo
19
2008
Classifying subcategories of modules over a commutative Noetherian ring. Zbl 1155.13008
Takahashi, Ryo
17
2008
Quasi-socle ideals in a Gorenstein local ring. Zbl 1137.13014
Goto, Shiro; Takahashi, Ryo; Matsuoka, Naoyuki
11
2008
On vanishing of certain Ext modules. Zbl 1158.13005
Goto, Shiro; Hayasaka, Futoshi; Takahashi, Ryo
4
2008
Direct summands of syzygy modules of the residue class field. Zbl 1132.13305
Takahashi, Ryo
3
2008
A new approximation theory which unifies spherical and Cohen–Macaulay approximations. Zbl 1138.13005
Takahashi, Ryo
7
2007
On the number of indecomposable totally reflexive modules. Zbl 1119.13010
Takahashi, Ryo
2
2007
An uncountably infinite number of indecomposable totally reflexive modules. Zbl 1129.13013
Takahashi, Ryo
2
2007
A characterization of modules locally of finite injective dimension. Zbl 1121.13017
Takahashi, Ryo
1
2007
Syzygy modules with semidualizing or G-projective summands. Zbl 1111.13015
Takahashi, Ryo
19
2006
Remarks on modules approximated by \(G\)-projective modules. Zbl 1109.13012
Takahashi, Ryo
9
2006
The existence of finitely generated modules of finite Gorenstein injective dimension. Zbl 1116.13011
Takahashi, Ryo
8
2006
Openness of FID-loci. Zbl 1106.13014
Takahashi, Ryo
1
2006
Homological invariants associated to semi-dualizing bimodules. Zbl 1096.16001
Araya, Tokuji; Takahashi, Ryo; Yoshino, Yuji
32
2005
On the category of modules of Gorenstein dimension zero. Zbl 1098.13014
Takahashi, Ryo
10
2005
Some characterizations of Gorenstein local rings in terms of G-dimension. Zbl 1092.13018
Takahashi, Ryo
9
2004
Characterizing Cohen-Macaulay local rings by Frobenius maps. Zbl 1094.13007
Takahashi, Ryo; Yoshino, Yuji
8
2004
On the category of modules of Gorenstein dimension zero. II. Zbl 1094.13022
Takahashi, Ryo
6
2004
Upper complete intersection dimension relative to a local homomorphism. Zbl 1058.13009
Takahashi, Ryo
3
2004
Modules of \(G\)-dimension zero over local rings of depth two. Zbl 1076.13007
Takahashi, Ryo
2
2004
all top 5

Cited by 442 Authors

65 Takahashi, Ryo
28 Goto, Shiro
21 Celikbas, Olgur
18 Sather-Wagstaff, Keri
15 Huang, Zhaoyong
15 Matsui, Hiroki
14 Endo, Naoki
13 Dao, Hailong
13 Sadeghi, Arash
13 Yassemi, Siamak
12 Jorge Pérez, Victor Hugo
10 Araya, Tokuji
10 Matsuoka, Naoyuki
10 Nguyễn Minh Trí
10 Salimi, Maryam
10 Tavasoli, Elham
9 Freitas, Thiago H.
9 Kobayashi, Toshinori
9 Kumashiro, Shinya
9 Nasseh, Saeed
8 Bahlekeh, Abdolnaser
8 Divaani-Aazar, Kamran
8 Yoshida, Ken-ichi
7 Aghapournahr, Moharram
7 Gheibi, Mohsen
7 Iyengar, Srikanth B.
7 Tran Tuan Nam
7 Wiegand, Roger Allen
7 Zargar, Majid Rahro
7 Zhang, Pu
7 Zhu, Xiaosheng
6 Angeleri Hügel, Lidia
6 Faber, Eleonore
6 Hafezi, Rasool
6 Isobe, Ryotaro
6 Mahin Fallah, Ali
6 Puthenpurakal, Tony J.
6 Strazzanti, Francesco
6 Striuli, Janet
6 Taherizadeh, Abdoljavad
6 Tousi, Massoud
6 Vraciu, Adela N.
6 Watanabe, Kei-ichi
5 Dibaei, Mohammad T.
5 Higashitani, Akihiro
5 Hiramatsu, Naoya
5 Iyama, Osamu
5 Lotfi Parsa, Morteza
5 Nakajima, Yusuke
5 Rump, Wolfgang
5 Tang, Xi
5 Tehranian, Abolfazl
5 Van den Bergh, Michel
5 Yoshizawa, Takeshi
5 Zhang, Zhen
5 Zheng, Junling
4 Asadollahi, Javad J.
4 Ghosh, Dipankar
4 Iima, Kei-ichiro
4 Ingalls, Colin
4 Miranda Neto, Cleto B.
4 Núñez-Betancourt, Luis
4 Salarian, Shokrollah
4 Ueyama, Kenta
4 Yan, Xiaoguang
4 Yoshino, Yuji
3 Ahmadi-Amoli, Khadijeh
3 Àlvarez Montaner, Josep
3 Buchweitz, Ragnar-Olaf
3 Caminata, Alessio
3 D’Anna, Marco
3 Dehghani-Zadeh, Fatemeh
3 Dey, Souvik
3 Herzog, Jürgen
3 Hoàng Lê Trường
3 Horiuchi, Jun
3 Jahangiri, Maryam
3 Kanda, Ryo
3 Kimura, Satoru
3 Lyle, Justin
3 Majadas, Javier
3 Mashhad, Fatemeh Mohammadi Aghjeh
3 Matsushita, Koji
3 Mori, Izuru
3 Moscariello, Alessio
3 Otake, Yuya
3 Payrovi, Shiroyeh
3 Psaroudakis, Chrysostomos
3 Rahmati, Hamidreza
3 Sazeedeh, Reza
3 Schwede, Karl E.
3 Špenko, Špela
3 Stamate, Dumitru Ioan
3 Stevenson, Greg
3 Talemi, Atiyeh Pour Eshmanan
3 Totushek, Jonathan P.
3 Ueda, Kazushi
3 White, Diana
3 Winther Christensen, Lars
3 Xi, Changchang
...and 342 more Authors
all top 5

Cited in 112 Serials

88 Journal of Algebra
52 Communications in Algebra
33 Journal of Pure and Applied Algebra
33 Journal of Algebra and its Applications
26 Proceedings of the American Mathematical Society
22 Algebras and Representation Theory
19 Journal of Commutative Algebra
16 Advances in Mathematics
11 Archiv der Mathematik
10 Nagoya Mathematical Journal
9 Mathematische Zeitschrift
9 Transactions of the American Mathematical Society
8 Acta Mathematica Vietnamica
8 Journal of the Mathematical Society of Japan
8 Pacific Journal of Mathematics
6 Czechoslovak Mathematical Journal
6 Illinois Journal of Mathematics
5 Glasgow Mathematical Journal
5 Algebra Colloquium
4 Collectanea Mathematica
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Taiwanese Journal of Mathematics
4 Journal of Noncommutative Geometry
4 Kyoto Journal of Mathematics
4 Journal of Algebraic Systems
3 Beiträge zur Algebra und Geometrie
3 Bulletin of the London Mathematical Society
3 Colloquium Mathematicum
3 Inventiones Mathematicae
3 Journal of the Korean Mathematical Society
3 Michigan Mathematical Journal
3 Semigroup Forum
3 Forum Mathematicum
3 Applied Categorical Structures
3 Mediterranean Journal of Mathematics
2 Bulletin of the Australian Mathematical Society
2 Israel Journal of Mathematics
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Rocky Mountain Journal of Mathematics
2 Compositio Mathematica
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Bulletin of the Iranian Mathematical Society
2 Revista Matemática Iberoamericana
2 Turkish Journal of Mathematics
2 Bulletin des Sciences Mathématiques
2 Documenta Mathematica
2 Vietnam Journal of Mathematics
2 Acta Mathematica Sinica. English Series
2 Communications in Contemporary Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Hacettepe Journal of Mathematics and Statistics
2 Oberwolfach Reports
2 Algebra & Number Theory
2 Science China. Mathematics
2 Iranian Journal of Mathematical Sciences and Informatics
2 Palestine Journal of Mathematics
2 Forum of Mathematics, Sigma
2 Transactions of the American Mathematical Society. Series B
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Arkiv för Matematik
1 American Journal of Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Canadian Mathematical Bulletin
1 Duke Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Kyungpook Mathematical Journal
1 Matematički Vesnik
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Ricerche di Matematica
1 Tôhoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Bulletin of the Korean Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Sugaku Expositions
1 Mathematica Bohemica
1 International Journal of Algebra and Computation
1 Linear Algebra and its Applications
1 Journal of Algebraic Geometry
1 Journal of Mathematical Sciences (New York)
1 Georgian Mathematical Journal
1 The Electronic Journal of Combinatorics
1 Selecta Mathematica. New Series
1 Sbornik: Mathematics
1 Representation Theory
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Journal of the Australian Mathematical Society
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Journal of the Institute of Mathematics of Jussieu
1 Frontiers of Mathematics in China
...and 12 more Serials

Citations by Year

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