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Title: Regularity and intersections of bracket powers (English)
Author: Epstein, Neil
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 72
Issue: 2
Year: 2022
Pages: 593-599
Summary lang: English
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Category: math
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Summary: Among reduced Noetherian prime characteristic commutative rings, we prove that a regular ring is precisely that where the finite intersection of ideals commutes with taking bracket powers. However, reducedness is essential for this equivalence. Connections are made with Ohm-Rush content theory, intersection-flatness of the Frobenius map, and various flatness criteria. (English)
Keyword: regular ring
Keyword: Ohm-Rush content theory
Keyword: intersection flat
Keyword: bracket power
Keyword: Frobenius endomorphism
MSC: 13A35
MSC: 13B40
MSC: 13H05
idZBL: Zbl 07547221
idMR: MR4412776
DOI: 10.21136/CMJ.2022.0066-21
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Date available: 2022-04-21T19:06:03Z
Last updated: 2024-07-01
Stable URL: http://hdl.handle.net/10338.dmlcz/150418
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