| 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 |
| . |
| Category:
|
math |
| . |
| 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 |
| . |
| Date available:
|
2022-04-21T19:06:03Z |
| Last updated:
|
2024-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/150418 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
