R. Sharma

activity

20172025

collaborators

Showing 2024Show all

5 papers · 1 filter

math.NT2024

Twisted Derivations in Algebraic Number Fields

Praveen Manju, Rajendra Kumar Sharma

Let $A$ be a commutative ring with unity and $B = A [θ]$ be an integral extension of $A$ . Assume that $B$ is an integral domain with quotient field $K$ and $E$ is…

math.NT2024

$(σ, τ)$ -Derivations of Number Rings with Coding Theory Applications

Praveen Manju, Rajendra Kumar Sharma

In this article, we study $(σ, τ)$ -derivations of number rings by considering them as commutative unital $Z$ -algebras. We begin by characterizing all $(σ, τ)$ -derivations…

math.RA2024

Inner and Outer Twisted Derivations of Cyclic Group Rings

Praveen Manju, Rajendra Kumar Sharma

In this article, we study twisted derivations of cyclic group rings. Let $R$ be a commutative ring with unity, $G$ be a finite cyclic group, and ( $σ, τ$ ) be a pair of $R$ -algebra e…

math.NT2024

$F_{q}$ -primitive points on varieties over finite fields

Soniya Takshak, Giorgos Kapetanakis, Rajendra Kumar Sharma

Let $r$ be a positive divisor of $q - 1$ and $f (x, y)$ a rational function of degree sum $d$ over $F_{q}$ with some restrictions, where the degree sum of a rational function $f…

math.RA2024

Inner and Outer Derivations of $F V_{8 n}$

Praveen Manju, Rajendra Kumar Sharma

Let $F$ be a field of characteristic $0$ or an odd rational prime $p$ . In this article, we give an explicit classification of all the inner and outer derivations of the gr…

Twisted Derivations in Algebraic Number Fields

(σ,τ)-Derivations of Number Rings with Coding Theory Applications

Inner and Outer Twisted Derivations of Cyclic Group Rings

Fq​-primitive points on varieties over finite fields

Inner and Outer Derivations of FV8n​

$(σ, τ)$ -Derivations of Number Rings with Coding Theory Applications

$F_{q}$ -primitive points on varieties over finite fields

Inner and Outer Derivations of $F V_{8 n}$