منابع مشابه
On Prime-Gamma-Near-Rings with Generalized Derivations
Copyright q 2012 Kalyan Kumar Dey et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Let N be a 2-torsion free prime Γ-near-ring with center ZN. Let f, d and g, h be two generalized derivations on N. We prove the following res...
متن کاملOn Prime Near-Rings with Generalized Derivation
LetN be a zero-symmetric left near-ring, not necessarily with amultiplicative identity element; and letZ be its multiplicative center. DefineN to be 3-prime if for all a, b ∈ N\{0}, aNb / {0}; and callN 2-torsion-free if N, has no elements of order 2. A derivation onN is an additive endomorphism D of N such that D xy xD y D x y for all x, y ∈ N. A generalized derivation f with associated deriva...
متن کاملGeneralized Derivations on Prime Near Rings
Let N be a near ring. An additive mapping f : N → N is said to be a right generalized (resp., left generalized) derivation with associated derivation d onN if f(xy) = f(x)y + xd(y) (resp., f(xy) = d(x)y + xf(y)) for all x, y ∈ N. A mapping f : N → N is said to be a generalized derivation with associated derivation d onN iff is both a right generalized and a left generalized derivation with asso...
متن کاملOn Strongly Equiprime Γ− near Rings
In this paper we obtain some equivalent conditions for strongly equiprime Γ− near rings N and the strongly equiprime radical Pse (N) coincides with Pse (L) where Pse (L) is the strongly equiprime radical of left operator near-ring L of N.
متن کاملUnitary Strongly Prime Rings and Related Radicals
A unitary strongly prime ring is defined as a prime ring whose central closure is simple with identity element. The class of unitary strongly prime rings is a special class of rings and the corresponding radical is called the unitary strongly prime radical. In this paper we prove some results on unitary strongly prime rings. The results are applied to study the unitary strongly prime radical of...
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2008
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.39.2008.43