Construction of strictly closed rings
The notion of strict closedness of rings was given by J. Lipman [Amer. J. Math. 93 (1971), pp. 649–685] in connection with a conjecture of O. Zariski. The present purpose is to give a practical method of construction of strictly closed rings. It is also shown that the Stanley-Reisner rings of simpli...
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2022-01, Vol.150 (1), p.119-129 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The notion of strict closedness of rings was given by J. Lipman [Amer. J. Math. 93 (1971), pp. 649–685] in connection with a conjecture of O. Zariski. The present purpose is to give a practical method of construction of strictly closed rings. It is also shown that the Stanley-Reisner rings of simplicial complexes (resp. F-pure rings satisfying the condition (\operatorname {S}_2) of Serre) are strictly closed (resp. weakly Arf) rings. |
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| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/proc/15659 |