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Saturation degree of powers of graded ideals

Hoa, Le Tuan et al.
arXiv (All) · Papers
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commutative-algebra
Let $I$ be a non-nilpotent graded ideal of a standard graded algebra over a Noetherian commutative ring. We show that the saturation degree sdeg $I^n$ is asymptotically a constant function or a linear function whose slope is one of the generating degrees of $I$. Furthermore, we give sufficient (and
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