Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Omar Leon"'
Autor:
Sanchez, Omar Leon
We prove that the theory of differentially closed fields of characteristic zero in $m\geq 1$ commuting derivations DCF$_{0,m}$ satisfies the expected form of the dichotomy. Namely, any minimal type is either locally modular or nonorthogonal to the (a
Externí odkaz:
http://arxiv.org/abs/2411.04801
Autor:
Ino, Kai, Sanchez, Omar Leon
We prove that the (elementary) class of differential-difference fields in characteristic $p>0$ admits a model-companion. In the terminology of Chatzidakis-Pillay, this says that the class of differentially closed fields of characteristic $p$ equipped
Externí odkaz:
http://arxiv.org/abs/2410.17892
Autor:
Sanchez, Omar Leon, Mohamed, Shezad
Motivated by structural properties of differential field extensions, we introduce the notion of a theory $T$ being derivation-like with respect to another model-complete theory $T_0$. We prove that when $T$ admits a model-companion $T_+$, then severa
Externí odkaz:
http://arxiv.org/abs/2409.11248
Publikováno v:
PeerJ, Vol 9, p e12533 (2021)
The Amazon has high biodiversity, which has been attributed to different geological events such as the formation of rivers. The Old and Young Amazon hypotheses have been proposed regarding the date of the formation of the Amazon basin. Different stud
Externí odkaz:
https://doaj.org/article/644051f2f10845e3938fb248f4c881b4
Autor:
Sánchez, Omar León, Tressl, Marcus
We provide a characterisation of differentially large fields in arbitrary characteristic and a single derivation in the spirit of Blum axioms for differentially closed fields. In the case of characteristic zero, we use these axioms to characterise di
Externí odkaz:
http://arxiv.org/abs/2307.12977
Autor:
Ino, Kai, Sanchez, Omar Leon
We introduce and study a new class of differential fields in positive characteristic. We call them separably differentially closed fields and demonstrate that they are the differential analogue of separably closed fields. We prove several (algebraic
Externí odkaz:
http://arxiv.org/abs/2302.11319
Autor:
Sanchez, Omar Leon, Moosa, Rahim
Motivated by the Poisson Dixmier-Moeglin equivalence problem, a systematic study of commutative unitary rings equipped with a {\em biderivation}, namely a binary operation that is a derivation in each argument, is here begun, with an eye toward the g
Externí odkaz:
http://arxiv.org/abs/2111.03475
We make further observations on the features of Galois cohomology in the general model theoretic context. We make explicit the connection between forms of definable groups and first cohomology sets with coefficients in a suitable automorphism group.
Externí odkaz:
http://arxiv.org/abs/2105.13053
Let G be a finite group. We explore the model theoretic properties of the class of differential fields of characteristic zero in m commuting derivations equipped with a G-action by differential field automorphisms. In the language of G-differential r
Externí odkaz:
http://arxiv.org/abs/2012.14376
Autor:
Sanchez, Omar Leon, Sierra, Susan J.
We consider when the symmetric algebra of an infinite-dimensional Lie algebra, equipped with the natural Poisson bracket, satisfies the ascending chain condition (ACC) on Poisson ideals. We define a combinatorial condition on a graded Lie algebra whi
Externí odkaz:
http://arxiv.org/abs/2008.02845