Commutative domains large in their -adic completions
P. Zanardo, U. Zannier (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Relations between localizations and -adic completions in commutative domains”
Commutative domains large in their -adic completions
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Classification of p-adic 6-dimensional filiform Leibniz algebras by solutions of x q = a
Manuel Ladra, Bakhrom Omirov, Utkir Rozikov (2013)
Open Mathematics
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We study the p-adic equation x q = a over the field of p-adic numbers. We construct an algorithm which gives a solvability criteria in the case of q = p m and present a computer program to compute the criteria for any fixed value of m ≤ p − 1. Moreover, using this solvability criteria for q = 2; 3; 4; 5; 6, we classify p-adic 6-dimensional filiform Leibniz algebras.