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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…
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Keywords:
drinfeld modules;
cogalois theory;
theory drinfeld;
drinfeld ... See more keywords
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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...
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Keywords:
hopf quasigroups;
quasimodules yetter;
hopf quasimodules;
drinfeld modules ... See more keywords
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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…
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Keywords:
drinfeld module;
torsion;
drinfeld modules;
formula see ... See more keywords