9 citations · 24 across the 15 of their papers we have counts for
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Polynomial factorization over henselian fields
Maria Alberich-Carramiñana, Jordi Guàrdia, Enric Nart +3
Given a valued field and an irreducible polynomial , we survey the ideas of Ore, Maclane, Okutsu, Montes, Vaquié and Herrera-Olalla-Mahboub-Spivakovsky, leading…
Valuations with infinite limit-depth
Maria Alberich-Carramiñana, Jordi Guàrdia, Enric Nart +1
For a certain field , we construct a valuation-algebraic valuation on the polynomial ring , whose Maclane--Vaquié chain consists of an infinite (countable) number of limit…
Okutsu frames of irreducible polynomials over henselian fields
Maria Alberich-Carramiñana, Jordi Guàrdia, Joaquím Roé +1
For a henselian valued field we establish a complete parallelism between the arithmetic properties of irreducible polynomials , encoded by their Okutsu frames, a…