P. Manju

collaborators

6 papers

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.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…

math.RA2023

Derivations of Non-Commutative Group Algebras

Praveen Manju, Rajendra Kumar Sharma

In this article, we study the derivations of group algebras of some important groups, namely, dihedral ( $D_{2 n}$ ), Dicyclic ( $T_{4 n}$ ) and Semi-dihedral ( $S D_{8 n}$ ). First, we expl…

math.RA2023

$(σ, τ)$ -Derivations of Group Rings with Applications

Praveen Manju, Rajendra Kumar Sharma

Leo Creedon and Kieran Hughes in [18] studied derivations of a group ring $R G$ (of a group $G$ over a commutative unital ring $R$ ) in terms of generators and relators of group $G$ .…

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

Inner and Outer Derivations of FV8n​

Derivations of Non-Commutative Group Algebras

(σ,τ)-Derivations of Group Rings with Applications

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

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

$(σ, τ)$ -Derivations of Group Rings with Applications