ArticleStrongly Minimal Sets in $j$-Reducts of Differentially Closed Fields

• Vahagn Aslanyan

year of publication: 2018

Posted by: Vahagn Aslanyan

arXiv

ArticleWeak Modular Zilber-Pink with Derivatives

• Vahagn Aslanyan

year of publication: 2018

Posted by: Vahagn Aslanyan

arXivMSC 2010: 11F03 03C60 12H05

ArticleAdequate Predimension Inequalities in Differential Fields

• Vahagn Aslanyan

year of publication: 2018

• Predimension
• Ax-Schanuel theorem
• existential closedness
• differential field
• j-function

Posted by: Vahagn Aslanyan

arXivMSC 2010: 03C60 12H05 12H20 11F03

ArticleAx-Schanuel type theorems and geometry of strongly minimal sets in differentially closed fields

• Vahagn Aslanyan

year of publication: 2018

Posted by: Vahagn Aslanyan

arXivMSC 2010: 12H05 12H20 03C60 11F03

ArticleAx-Schanuel for Linear Differential Equations

• Vahagn Aslanyan

Archive for Mathematical Logic, 1-20, 2017

Posted by: Vahagn Aslanyan

DOIarXivfulltextMSC 2010: 12H05 12H20 03C60

ArticleDefinability of derivations in the reducts of differentially closed fields

• Vahagn Aslanyan

Journal of Symbolic Logic 82 (4), 1252-1277, 2017

• Model theoretic algebra
• differentially closed field
• reduct
• abstract differential equation
• definable derivation

Posted by: Vahagn Aslanyan

arXivfulltextMSC 2010: 03C10 03C60 12H05 12H20 13N15

ArticleA functional completeness theorem for De Morgan functions

• Vahagn Aslanyan,
• Yuri Movsisyan

Discrete Applied Mathematics 162, 1-16, 2014

• Antichain
• De Morgan function
• Monotone Boolean function
• Disjunctive (conjunctive) normal form of De Morgan functions
• Closed class
• Complete and precomplete classes
• Quasimonotone and zigzag De Morgan functions

Posted by: Vahagn Aslanyan

DOIfulltext