We study polynomial closure of ideals from the point of view of star operations. We show that, if D is an integrally closed domain or a domain of residue characteristic 0, the polynomial closure of an ideal coincides with the divisorial closure. We also analyze what happens in characteristic p.

Spirito, D., Tartarone, F. (2024). Star operations related to polynomial closure. COMMUNICATIONS IN ALGEBRA, 52(9), 3686-3693 [10.1080/00927872.2024.2326976].

Star operations related to polynomial closure

Tartarone F.
2024-01-01

Abstract

We study polynomial closure of ideals from the point of view of star operations. We show that, if D is an integrally closed domain or a domain of residue characteristic 0, the polynomial closure of an ideal coincides with the divisorial closure. We also analyze what happens in characteristic p.
2024
Spirito, D., Tartarone, F. (2024). Star operations related to polynomial closure. COMMUNICATIONS IN ALGEBRA, 52(9), 3686-3693 [10.1080/00927872.2024.2326976].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/494697
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