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Aslanyan, Vahagn, Eterović, Sebastian and Kirby, Jonathan 
ORCID: https://orcid.org/0000-0003-4031-9107
(2023)
A closure operator respecting the modular j-function.
Israel Journal of Mathematics, 253.
321–357.
ISSN 0021-2172
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Abstract
We prove some unconditional cases of the Existential Closedness problem for the modular j-function. For this, we show that for any finitely generated field we can find a “convenient” set of generators. This is done by showing that in any field equipped with functions replicating the algebraic behaviour of the modular j-function and its derivatives, one can define a natural closure operator in three equivalent different ways.
| Item Type: | Article |
|---|---|
| Additional Information: | Funding information: VA and JK were supported by EPSRC grant EP/S017313/1. SE was partially supported by NSF RTG grant DMS-1646385. |
| Uncontrolled Keywords: | mathematics(all) ,/dk/atira/pure/subjectarea/asjc/2600 |
| Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
| UEA Research Groups: | Faculty of Science > Research Groups > Logic (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR) |
| Related URLs: | |
| Depositing User: | LivePure Connector |
| Date Deposited: | 08 Jul 2021 00:06 |
| Last Modified: | 17 Dec 2024 01:33 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/80428 |
| DOI: | 10.1007/s11856-022-2362-y |
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