Articles with "drinfeld modules" as a keyword



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Cogalois theory and drinfeld modules

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Published in 2019 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498820500012

Abstract: In this paper, we generalize the results of [M. Sánchez-Mirafuentes and G. Villa–Salvador, Radical extensions for the Carlitz module, J. Algebra 398 (2014) 284–302] to rank one Drinfeld modules with class number one. We show… read more here.

Keywords: drinfeld modules; cogalois theory; theory drinfeld; drinfeld ... See more keywords
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Hopf Quasimodules and Yetter-Drinfeld Modules over Hopf Quasigroups

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Published in 2021 at "Algebra Colloquium"

DOI: 10.1142/s1005386721000183

Abstract: We introduce the notions of a four-angle Hopf quasimodule and an adjoint quasiaction over a Hopf quasigroup H in a symmetric monoidal category C. If H possesses an adjoint quasiaction, we show that... read more here.

Keywords: hopf quasigroups; quasimodules yetter; hopf quasimodules; drinfeld modules ... See more keywords
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Galois criterion for torsion points of Drinfeld modules

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Published in 2021 at "International Journal of Number Theory"

DOI: 10.1142/s1793042121500901

Abstract: In this paper, we formulate the Drinfeld module analogue of a question raised by Lang and studied by Katz on the existence of rational points on abelian varieties over number fields. Given a maximal ideal… read more here.

Keywords: drinfeld module; torsion; drinfeld modules; formula see ... See more keywords