Article
| 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: | 2022-09-08 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/150418 |
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