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pro vyhledávání: '"de Oliveira, Nathália Moraes"'
Autor:
de Oliveira, Nathália Moraes
Let (K,v) be a henselian valued field. In this paper, we use Okutsu sequences for monic, irreducible polynomials in K[x], and their relationship with MacLane chains of inductive valuations on K[x], to obtain some results on the computation of invaria
Externí odkaz:
http://arxiv.org/abs/1903.09134
Let $(K,v)$ be a henselian valued field. Let $\mathbb{P}^{dless}\subset K[x]$ be the set of monic, irreducible polynomials which are defectless and have degree greater than one. For a certain equivalence relation $\,\approx\,$ on $\,\mathbb{P}^{dless
Externí odkaz:
http://arxiv.org/abs/1903.06736
Let $(K,v)$ be a valued field, and $\mu$ an inductive valuation on $K[x]$ extending $v$. Let $G_\mu$ be the graded algebra of $\mu$ over $K[x]$, and $\kappa$ the maximal subfield of the subring of $G_\mu$ formed by the homogeneous elements of degree
Externí odkaz:
http://arxiv.org/abs/1901.04937
We introduce a canonical form for reduced bases of integral closures of discrete valuation rings, and we describe an algorithm for computing a basis in reduced normal form. This normal form has the same applications as the Hermite normal form: identi
Externí odkaz:
http://arxiv.org/abs/1604.06606
Akademický článek
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Autor:
de Oliveira, Nathália Moraes
Publikováno v:
Communications in Algebra; 2021, Vol. 49 Issue 12, p5435-5448, 14p