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arXiv · 2204.06428

On chains associated with abstract key polynomials

Sneha Mavi·Anuj Bishnoi
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Abstract

In this paper, for a henselian valued field $(K, v)$ of arbitrary rank and an extension $w$ of $v$ to $K(X),$ we use abstract key polynomials for $w$ to give a connection between complete sets, saturated distinguished chains and Okutsu frames. Further, for a valued field $(K, v),$ we also obtain a close connection between complete set of ABKPs for $w$ and Maclane-Vaqui\'e chains of $w.$

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Sneha Mavi, Anuj Bishnoi. 2022-04-13. On chains associated with abstract key polynomials. https://arxiv.org/abs/2204.06428

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