Understanding drivers of primate movements in fragments: insights for an agent-bas...
On the unit group of Z-orders in finite dimensional algebras
Constructions of algebraic lattices via Galoisian extension of prime degree
| Full text | |
| Author(s): |
Kuhlmann, Franz-Viktor
Total Authors: 1
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| Document type: | Journal article |
| Source: | JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 21, n. 03, p. 18-pg., 2022-03-01. |
| Abstract | |
We prove that a valued field of positive characteristic p that has only finitely many distinct Artin-Schreier extensions (which is a property of infinite NTP2 fields) is dense in its perfect hull. As a consequence, it is a deeply ramified field and has p-divisible value group and perfect residue field. Further, we prove a partial analogue for valued fields of mixed characteristic and observe an open problem about 1-units in this setting. Finally, we fill a gap that occurred in a proof in an earlier paper in which we first introduced a classification of Artin-Schreier defect extensions. (AU) | |
| FAPESP's process: | 17/17835-9 - The relation between toric geometry, theory of local blow-ups and ramification theory and their applications in valuation theory |
| Grantee: | Josnei Antonio Novacoski |
| Support Opportunities: | Research Grants - Young Investigators Grants |