Classes of polynomials having only one non-cyclotomic irreducible factor
Classification of p-adic 6-dimensional filiform Leibniz algebras by solutions of x q = a
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.
Computing -removed -orderings and -orderings of order
We develop a recursive method for computing the -removed -orderings and -orderings of order the characteristic sequences associated to these and limits associated to these sequences for subsets of a Dedekind domain This method is applied to compute these objects for and .
Continuous functions on compact subsets of local fields
Cycles of polynomial mappings in several variables.
Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals