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math.AC2025
On finite generating sets of infinitely generated ideals
Takafumi Shibuta
This paper presents a novel approach to constructing finite generating sets for infinitely generated ideals. By integrating algebraic and computational techniques, we provide a met…
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…