2022/04/13 by Sneha Mavi, Mavi, Sneha, Anuj Bishnoi +1
Mathematics · Physics and Astronomy · #12F20 #12J10 #13A18 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2204.06428
openalex publication_date 2022/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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-Vaquié chains of w.