Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Lehéricy, Gabriel"'
Publikováno v:
MLQ Math. Log. Q. 67 (2021) 321-328
The following conjecture is due to Shelah-Hasson: Any infinite strongly NIP field is either real closed, algebraically closed, or admits a non-trivial definable henselian valuation, in the language of rings. We specialise this conjecture to ordered f
Externí odkaz:
http://arxiv.org/abs/2010.14770
Publikováno v:
Forum Mathematicum, vol. 33, no. 4, 2021, pp. 953-972
In this paper, we undertake a systematic model and valuation theoretic study of the class of ordered fields which are dense in their real closure. We apply this study to determine definable henselian valuations on ordered fields, in the language of o
Externí odkaz:
http://arxiv.org/abs/2010.11832
The ambition of the Lightning Network is to provide a second layer to the Bitcoin network to enable transactions confirmed instantly, securely and anonymously with a world scale capacity using a decentralized protocol. Some of the current proposition
Externí odkaz:
http://arxiv.org/abs/2002.01374
Autor:
Lehéricy, Gabriel
Cette thèse a pour objet les ordres, les valuations et les C-relations sur les groupes, ainsi que les corps différentiels valués tels qu’étudiés par Rosenlicht. Elle accomplit trois objectifs principaux. Le premier est d’introduire et d’é
Externí odkaz:
http://www.theses.fr/2018USPCC130/document
We investigate what henselian valuations on ordered fields are definable in the language of ordered rings. This leads towards a systematic study of the class of ordered fields which are dense in their real closure. Some results have connections to re
Externí odkaz:
http://arxiv.org/abs/1810.10377
Autor:
Kuhlmann, Salma, Lehéricy, Gabriel
Publikováno v:
Mathematische Zeitschrift (2018)
We develop a notion of (principal) differential rank for differential-valued fields, in analog of the exponential rank and of the difference rank. We give several characterizations of this rank. We then give a method to define a derivation on a field
Externí odkaz:
http://arxiv.org/abs/1707.09493
Autor:
Kuhlmann, Salma, Lehéricy, Gabriel
Publikováno v:
Order- A Journal on the Theory of Ordered Sets and its Applications (2017)
We give group analogs of two important theorems of real algebra concerning convex valuations, one of which is the Baer-Krull theorem. We do this by using quasi-orders, which gives a uniform approach to valued and ordered groups. We also recover the c
Externí odkaz:
http://arxiv.org/abs/1701.05827
Autor:
Lehéricy, Gabriel
Publikováno v:
Journal of Symbolic Logic (2018)
We use quasi-orders to describe the structure of C-groups. We do this by associating a quasi-order to each compatible C-relation of a group, and then give the structure of such quasi-ordered groups. We also reformulate in terms of quasi-orders some r
Externí odkaz:
http://arxiv.org/abs/1609.01909
Autor:
Lehéricy, Gabriel
Publikováno v:
Journal of Pure and Applied Algebra (2018)
We introduce a notion of compatible quasi-ordered groups which unifies valued and ordered abelian groups. It was proved in a paper by Fakhruddin that a compatible quasi-order on a field is always either an order or a valuation. We show here that the
Externí odkaz:
http://arxiv.org/abs/1606.07710
Autor:
Lehéricy, Gabriel
Publikováno v:
In Journal of Pure and Applied Algebra August 2019 223(8):3238-3261
