Toshinori Kobayashi
- Rings whose ideals are isomorphic to trace ideals
2018/07/01 by Toshinori Kobayashi, Kobayashi, Toshinori, Ryo Takahashi +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
- Burch ideals and Burch rings
2019/05/07 by Hailong Dao, Toshinori Kobayashi, Dao, Hailong +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)
- The set of trace ideals of curve singularities
2022/03/09 by Toshinori Kobayashi, Kobayashi, Toshinori, Shinya Kumashiro +1 · 2 citations
Computer Science · Mathematics · #13A15 #13C05 #16S36 #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras
- Syzygies of Cohen-Macaulay modules and Grothendieck groups
2016/07/21 by Toshinori Kobayashi, Kobayashi, Toshinori · 1 citation
Mathematics · #13C14 #13D15 #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 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)
- 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
- Semidualizing Modules over Numerical Semigroup Rings
2023/06/26 by Ela Celikbas, Hugh Geller, Celikbas, Ela +3 · 1 citation
Mathematics · #13C05 #13C13 #13D07 #20M25 #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Group Theory (math.GR) #Rings, Modules, and Algebras
- Two theorems on the vanishing of Ext
2023/08/17 by Olgur Celikbas, Celikbas, Olgur, Dey, Souvik +6 · 1 citation
Mathematics · #13A35 #13C12 #13D05 #13D07 #13H10 #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras