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math.AC2010★ 2 cited
Gröbner bases of contraction ideals
Takafumi Shibuta
We investigate Gröbner bases of contraction ideals under some monomial homomorphisms. As an application of our theorem, we generalize the result of Aoki--Hibi--Ohsugi--Takemura and…
math.AC2010
Irreducibility criterion for algebroid curves
Takafumi Shibuta
The purpose of this paper is to give an algorithm for deciding the irreducibility of reduced algebroid curves over an algebraically closed field of arbitrary characteristic. To do…
math.AC2010
One-dimensional rings of finite F-representation type
Takafumi Shibuta
We prove that a complete local or graded one-dimensional domain of prime characteristic has finite F-representation type if its residue field is algebraically closed or finite, and…