Shinya Kumashiro

1. The tiny trace ideals of the canonical modules in Cohen-Macaulay rings of dimension one
   2021/06/17 by Jürgen Herzog, Herzog, Jürgen, Shinya Kumashiro +3 · 5 citations
   Mathematics · #13H10 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
2. The reduction number of canonical ideals
   2020/07/01 by Shinya Kumashiro, Kumashiro, Shinya · 3 citations
   Mathematics · #13D40 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Primary: 13H10 #Rings, Modules, and Algebras #Secondary: 13B02
3. Correspondence between trace ideals and birational extensions with application to the analysis of the Gorenstein property of rings
   2018/02/23 by Shirô Gotô, Goto, Shiro, Ryotaro Isobe +3 · 3 citations
   Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
4. Reflexive modules over Arf local rings
   2021/05/15 by Ryotaro Isobe, Shinya Kumashiro, Isobe, Ryotaro +1 · 2 citations
   Mathematics · #13B22 #13C05 #13H10 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
5. 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
6. Upper bound on the colength of the trace of the canonical module in dimension one
   2022/01/29 by Jürgen Herzog, Shinya Kumashiro, Herzog, Jürgen +1 · 2 citations
   Mathematics · #13C13 #13H10 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
7. When are trace ideals finite?
   2021/08/01 by Shinya Kumashiro, Kumashiro, Shinya · 1 citation
   Mathematics · Computer Science · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Algebraic structures and combinatorial models