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Model theory of fields with free operators in positive characteristic

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cris.lastimport.scopus2024-02-12T20:50:26Z
dc.abstract.enWe give algebraic conditions for a finite commutative algebra B over a field of positive characteristic, which are equivalent to the companion-ability of the theory of fields with “B-operators” (i.e., the operators comingfrom homomorphisms into tensor products with B). We show that, in themost interesting case of a local B, these model companions admit quantifierelimination in the “smallest possible” language, and they are strictly stable.We also describe the forking relation there.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorHoffmann, Daniel
dc.contributor.authorBeyarslan, Özlem
dc.contributor.authorKowalski, Piotr
dc.contributor.authorKamensky, Moshe
dc.date.accessioned2024-01-25T12:52:31Z
dc.date.available2024-01-25T12:52:31Z
dc.date.issued2019
dc.description.financeNie dotyczy
dc.description.number8
dc.description.volume372
dc.identifier.doi10.1090/TRAN/7896
dc.identifier.issn0002-9947
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/112802
dc.identifier.weblinkhttp://dx.doi.org/10.1090/tran/7896
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofTransactions of the American Mathematical Society
dc.relation.pages5991-6016
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enderivations in positive characteristic
dc.subject.enoperator
dc.subject.enmodel companion
dc.titleModel theory of fields with free operators in positive characteristic
dc.typeJournalArticle
dspace.entity.typePublication