10 citations · 59 across the 20 of their papers we have counts for
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Existentially closed De Morgan algebras
Vahagn Aslanyan
We show that the theory of De Morgan algebras has a model completion and axiomatise it. Then we prove that it is -categorical and describe definable and algebraic closure…
Ax-Schanuel and strong minimality for the -function
Vahagn Aslanyan
Let be a differentially closed field of characteristic with field of constants . In the first part of the paper we explore the connection…
Weak Modular Zilber-Pink with Derivatives
Vahagn Aslanyan
In unpublished notes Pila proposed a Modular Zilber-Pink with Derivatives (MZPD) conjecture, which is a Zilber-Pink type statement for the modular -function and its derivatives.…
Adequate Predimension Inequalities in Differential Fields
Vahagn Aslanyan
In this paper we study predimension inequalities in differential fields and define what it means for such an inequality to be \emph{adequate}. Adequacy was informally introduced by…