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

• Autorzy: Manuel Ladra , Bakhrom Omirov , Utkir Rozikov
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

p-adic number; Solvability of p-adic equation; Filiform Leibniz algebra

Kategorie tematyczne

• 17A32: Leibniz algebras
• 11S05: Polynomials

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 6
• Strony: 1083-1093

Daty

wydano

2013-06-01

online

2013-03-28

Twórcy

autor

Manuel Ladra

• Department of Algebra, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain

autor

Bakhrom Omirov

• Institute of Mathematics, National University of Uzbekistan, Do’rmon yo’li str. 29, Tashkent, 100125, Uzbekistan

autor

Utkir Rozikov

• Institute of Mathematics, National University of Uzbekistan, Do’rmon yo’li str. 29, Tashkent, 100125, Uzbekistan

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Identyfikatory

DOI

10.2478/s11533-013-0225-9