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Notes on generalized $(σ, τ)$ –derivation

Öznur Gölbaşi; Emine Koç — 2010

Rendiconti del Seminario Matematico della Università di Padova

On near-ring ideals with $(σ, τ)$ -derivation

Öznur Golbaşi; Neşet Aydin — 2007

Archivum Mathematicum

Let $N$ be a $3$ -prime left near-ring with multiplicative center $Z$ , a $(σ, τ)$ -derivation $D$ on $N$ is defined to be an additive endomorphism satisfying the product rule $D (x y) = τ (x) D (y) + D (x) σ (y)$ for all $x, y \in N$ , where $σ$ and $τ$ are automorphisms of $N$ . A nonempty subset $U$ of $N$ will be called a semigroup right ideal (resp. semigroup left ideal) if $U N \subset U$ (resp. $N U \subset U$ ) and if $U$ is both a semigroup right ideal and a semigroup left ideal, it be called a semigroup ideal. We prove the following results: Let $D$ be a $(σ,$ $τ)$ -derivation on $N$ such...

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Notes on generalized $(σ, τ)$ –derivation

On near-ring ideals with $(σ, τ)$ -derivation

Some properties of prime near-rings with $(σ, τ)$ -derivation.

On Lie ideals with generalized derivations.

Orthogonal generalized $(σ, τ)$ -derivations of semiprime rings.

Some results for generalized Lie ideals in prime rings with derivation. II.

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Formula preview

Currently displaying 1 – 6 of 6

Notes on generalized ( σ , τ ) –derivation

On near-ring ideals with ( σ , τ ) -derivation

Some properties of prime near-rings with ( σ , τ ) -derivation.

On Lie ideals with generalized derivations.

Orthogonal generalized ( σ , τ ) -derivations of semiprime rings.

Some results for generalized Lie ideals in prime rings with derivation. II.

Notes on generalized $(σ, τ)$ –derivation

On near-ring ideals with $(σ, τ)$ -derivation

Some properties of prime near-rings with $(σ, τ)$ -derivation.

Orthogonal generalized $(σ, τ)$ -derivations of semiprime rings.