On chains associated with abstract key polynomials
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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