Anuj Bishnoi

activity

20212026

collaborators

6 papers

math.AC2026

On Regular Mac Lane-Vaquié chains

Nikita Dwivedi, Anuj Bishnoi

Let $(K^{h}, v^{h})$ be a Henselization of a valued field $(K, v)$ , $μ$ any extension of $v$ to $K [x]$ , and $μ^{h}$ the canonical extension of $μ$ and $v^{h}$ to $K^{h} [x] .$ In this paper, we…

math.AC2026

On simple extensions generated by key polynomials

Nikita Dwivedi, Anuj Bishnoi

Let $K^{h}$ be a Henselization of a valued field $(K, v),$ $w$ a valuation-transcendental extension of $v$ to $K [x],$ and $ϕ$ a key polynomial for $w$ . In this paper, we prove that if…

math.AC2022

MacLane-Vaquié chains and Valuation-Transcendental Extensions

Sneha Mavi, Anuj Bishnoi

In this paper, for a valued field $(K, v)$ of arbitrary rank and an extension $w$ of $v$ to $K (X),$ we give a connection between complete sets of ABKPs for $w$ and MacLane-Vaquié c…

math.AC2022

Abstract Key Polynomials and MacLane-Vaquié chains

Sneha Mavi, Anuj Bishnoi

In this paper, for a valued field $(K, v)$ of arbitrary rank and an extension $w$ of $v$ to $K (X),$ a relation between induced complete sequences of abstract key polynomials and Ma…

math.AC2022

On chains associated with abstract key polynomials

Sneha Mavi, Anuj Bishnoi

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 c…

math.AC2021

Abstract key polynomials and distinguished pairs

Sneha Mavi, Anuj Bishnoi

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 obtain distinguished pairs a…