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WeinvestigatethefinitaryfunctionsfromafinitefieldFqtothe finitefieldFp,wherepandqarepowersofdifferentprimes.An(Fp,Fq)linearlyclosedclonoidisasubsetofthesefunctionswhichisclosedunder compositionfromtherightandfromthe leftwithlinearmappings.We giveacharacterizationofthesesubsetsoffunctionsthroughtheinvariant subspaces of thevector spaceFFq\{0} p with respect toa certain linear transformationwithminimalpolynomialxq−1−1.Furthermoreweprove thateachofthesesubsetsoffunctionsisgeneratedbyoneunaryfunction.

Fioravanti, S. (2020). Closed sets of finitary functions between finite fields of coprime order. ALGEBRA UNIVERSALIS, 81(4) [10.1007/s00012-020-00683-5].

Closed sets of finitary functions between finite fields of coprime order

Stefano Fioravanti
2020-01-01

Abstract

WeinvestigatethefinitaryfunctionsfromafinitefieldFqtothe finitefieldFp,wherepandqarepowersofdifferentprimes.An(Fp,Fq)linearlyclosedclonoidisasubsetofthesefunctionswhichisclosedunder compositionfromtherightandfromthe leftwithlinearmappings.We giveacharacterizationofthesesubsetsoffunctionsthroughtheinvariant subspaces of thevector spaceFFq\{0} p with respect toa certain linear transformationwithminimalpolynomialxq−1−1.Furthermoreweprove thateachofthesesubsetsoffunctionsisgeneratedbyoneunaryfunction.
2020
ALGEBRA UNIVERSALIS
Fioravanti, S. (2020). Closed sets of finitary functions between finite fields of coprime order. ALGEBRA UNIVERSALIS, 81(4) [10.1007/s00012-020-00683-5].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/1253035