Classification of p-adic 6-dimensional filiform Leibniz algebras by solutions of x q = a

Manuel Ladra; Bakhrom Omirov; Utkir Rozikov

Open Mathematics (2013)

  • Volume: 11, Issue: 6, page 1083-1093
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Manuel Ladra, Bakhrom Omirov, and Utkir Rozikov. "Classification of p-adic 6-dimensional filiform Leibniz algebras by solutions of x q = a." Open Mathematics 11.6 (2013): 1083-1093. <http://eudml.org/doc/269706>.

@article{ManuelLadra2013,
abstract = {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.},
author = {Manuel Ladra, Bakhrom Omirov, Utkir Rozikov},
journal = {Open Mathematics},
keywords = {p-adic number; Solvability of p-adic equation; Filiform Leibniz algebra; p-adic numbers; solvability of p-adic equations; filiform Leibniz algebras},
language = {eng},
number = {6},
pages = {1083-1093},
title = {Classification of p-adic 6-dimensional filiform Leibniz algebras by solutions of x q = a},
url = {http://eudml.org/doc/269706},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Manuel Ladra
AU - Bakhrom Omirov
AU - Utkir Rozikov
TI - Classification of p-adic 6-dimensional filiform Leibniz algebras by solutions of x q = a
JO - Open Mathematics
PY - 2013
VL - 11
IS - 6
SP - 1083
EP - 1093
AB - 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.
LA - eng
KW - p-adic number; Solvability of p-adic equation; Filiform Leibniz algebra; p-adic numbers; solvability of p-adic equations; filiform Leibniz algebras
UR - http://eudml.org/doc/269706
ER -

References

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