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A study of irreducible polynomials over henselian valued fields via distinguished pairs

  • Kamal Aghigh

    K.N. Toosi University of Technology, Tehran, Iran

  • Anuj Bishnoi

    Panjab University, Chandigarh, India

  • Sudesh K. Khanduja

    IISER, Sas Nagar, Punjab, India

  • Sanjeev Kumar

    Panjab University, Chandigarh, India
A study of irreducible polynomials over henselian valued fields via distinguished pairs cover
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Abstract

In this paper, we give an introduction of the phenomenon of lifting with respect to residually transcendental extensions, the notion of distinguished pairs and complete distinguished chains which lead to the study of certain invariants associated to irreducible polynomials over valued fields. We give an overview of various results regarding these concepts and their applications.