Anzeige
Erschienen in:
2015 | OriginalPaper | Buchkapitel
Semigroup Ideals and Permuting 3-Derivations in Prime Near Rings
verfasst von : Asma Ali, Clauss Haetinger, Phool Miyan, Farhat Ali
Erschienen in: Semigroups, Algebras and Operator Theory
Verlag: Springer India
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
Let N be a near ring. A 3-additive map \(\Delta : N\times N\times N\longrightarrow N\) is called a 3-derivation if the relations \( \Delta (x_1x_2, y,z)=\Delta (x_1,y,z)x_2+x_1\Delta (x_2, y,z)\), \( \Delta (x, y_1y_2, z)=\Delta (x, y_1, z)y_2+y_1\Delta (x, y_2, z)\), and \( \Delta (x, y, z_1z_2)=\Delta (x,y,z_1)z_2+z_1\Delta (x,y,z_2)\) are fulfilled, for all \(x,y,z,x_i,y_i,z_i\in N, i=1,2\). The purpose of the present paper is to prove some commutativity theorems in the setting of a semigroup ideal of a 3-prime near ring admitting a permuting 3-derivation, thereby extending some known results of biderivations and permuting 3-derivations.