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pro vyhledávání: '"Sanchez, Omar"'
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
Autor:
Sánchez, Omar
We prove the local existence of solutions of the form $x^2+ct+g,$ with $g\in H^s(\mathbb R)$ and $s\geq 3,$ for the Muskat problem in the stable regime. We use energy methods to obtain a bound of $g$ in Sobolev spaces. In the proof we deal with the l
Externí odkaz:
http://arxiv.org/abs/2312.08347
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
Autor:
Sánchez, Omar, Castañeda, Karen, Vidal-Méndez, Sofía, Carrasco-Beltrán, Daniela, Lozano-Ramírez, Natalia E.
Publikováno v:
In Results in Engineering September 2024 23
Publikováno v:
In Results in Engineering June 2024 22
Autor:
Puerto, Andrés, Castañeda, Karen, Sánchez, Omar, Peña, Carlos A., Gutiérrez, Laura, Sáenz, Paula
Publikováno v:
In Results in Engineering June 2024 22