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key polynomials 2henselization 1limit key polynomials 1MacLane theory 1order type 1rational function fields 1regular complete sequences 1transcendental extensions 1valuation extensions 1valued fields 1

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most citedKey polynomials for simple extensions of valued fields

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Key polynomials for simple extensions of valued fields

F. J. Herrera Govantes, W. Mahboub, M. A. Olalla Acosta +1

The paper refines MacLane’s theory of key polynomials for simple transcendental extensions of rank‑1 valued fields, explicitly describing limit key polynomials and giving upper bou…