A DIRECT PROOF OF THE THEOREM ON FORMAL FUNCTIONS
We give a direct and elementary proof of the theorem on formal functions by studying the behaviour of the Godement resolution of a sheaf of modules under completion. This proof also works in some non-noetherian cases.
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2009-12, Vol.137 (12), p.4083-4088 |
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| container_end_page | 4088 |
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| container_issue | 12 |
| container_start_page | 4083 |
| container_title | Proceedings of the American Mathematical Society |
| container_volume | 137 |
| creator | DE SALAS, FERNANDO SANCHO DE SALAS, PEDRO SANCHO |
| description | We give a direct and elementary proof of the theorem on formal functions by studying the behaviour of the Godement resolution of a sheaf of modules under completion. This proof also works in some non-noetherian cases. |
| doi_str_mv | 10.1090/S0002-9939-09-10015-1 |
| format | Article |
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| ispartof | Proceedings of the American Mathematical Society, 2009-12, Vol.137 (12), p.4083-4088 |
| issn | 0002-9939 1088-6826 |
| language | eng |
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| source | American Mathematical Society Publications (Freely Accessible); Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; JSTOR Mathematics & Statistics; Jstor Complete Legacy; American Mathematical Society Publications |
| subjects | Exact sciences and technology General mathematics General, history and biography Mathematical functions Mathematical theorems Mathematics Morphisms Sciences and techniques of general use Topology |
| title | A DIRECT PROOF OF THE THEOREM ON FORMAL FUNCTIONS |
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