TWO-SIDED Γ-Α-Derivations IN PRIME AND SEMIPRIME Γ-Near-Rings

Abstract

Abstract. We introduce the notion of two-sided Γ-α-derivation of a Γ-near-ring and give some generalizations of [1,2].

Commutativity of $\Gamma$-Generalized Boolean Semirings with Derivations

“…Then Asci (Asci, 2007) investigated some commutativity conditions for Γ-near rings with derivations. Kazaz and Alkan (Kazaz & Alkan, 2008) introduced the notion of two-side Γ-α derivation of Γ-near rings and investigated some commutativity of prime and semiprime Γ-near rings. In 2011, the notion of derivations in prime Γ-semiring was introduced by M.A.…”

ON COMMUTATIVITY IN PRIME Gamma-NEAR-RINGS WITH SYMMETRIC BI-DERIVATIONS

“…Some characterizations of Γ-near-rings and some regularity conditions were obtained by Cho [5]. M. Kazaz and Akin Alkan [12] introduced the notion of two-sided Γ-α-derivation of a Γ-near-ring and investigated the com-mutativity of a prime and semiprime Γ-near-rings. M Uckun, M. A. Ozturk and Y.…”

On Commutativity of prime gamma near rings

“…Satyanarayana in [6] was introduced the notion of Г-near ring as a generalization of near-rings.The concept of Г-derivations in Г-near ring was introduced by Jun, Cho, and Kim [4,2]. Asci [1] obtained some commutativity conditions for a Г-near-ring with derivations.…”