Some results of reverse derivation on prime and semiprime Γ-rings

• Autorzy: Neshtiman Nooraldeen Suliman
• Języki publikacji: EN

Abstrakty

EN

In the present paper, it is introduced the definition of a reverse derivation on a Γ-ring M. It is shown that a mapping derivation on a semiprime Γ-ring M is central if and only if it is reverse derivation. Also it is shown that M is commutative if for all a,b ∈ I (I is an ideal of M) satisfying d(a) ∈ Z(M), and d(a ∘ b) = 0.

Słowa kluczowe

EN

Prime Γ-rings; semiprime Γ-rings; derivations; reverse derivations

Kategorie tematyczne

• 16W99: None of the above, but in this section
• 16N60: Prime and semiprime rings
• 16W25: Derivations, actions of Lie algebras

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2015
• Tom: 35
• Numer: 1
• Strony: 53-58

Daty

wydano

2015

otrzymano

2014-11-15

poprawiono

2015-03-17

Twórcy

autor

Neshtiman Nooraldeen Suliman

• Department of Mathematics, College of Education, Salahadeen University, Erbil, Iraq

Bibliografia

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• [3] Md. F. Hoque and A.C. Paul, On centralizers of semiprime gamma rings, Intr. Math. Forum 6 (13) (2011) 627-638.
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• [5] L. Luh, On the theory of simple Gamma rings, Michigan Math. J. 16 (1969) 576-584. doi: 10.1307/mmj/1029000167
• [6] N. Nobusawa, On a generalization of the ring theory, Osaka J. Math. 1 (1964) 81-89.
• [7] M. Sapanci and A. Nakajima, A note on gamma rings, Turkish J. Math. 20 (1996) 463-465.
• [8] M. Soytürk, The commutativity in prime gamma rings with Derivation, Turkish J. Math. 18 (1994) 149-155.

Identyfikatory

DOI

10.7151/dmgaa.1232