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Ceven, Yilmaz,Ozturk, Mehmet Ali Korean Mathematical Society 2008 대한수학회보 Vol.45 No.4
In this paper, as a generalization of derivation on a lattice, the notion of f-derivation for a lattice is introduced and some related properties are investigated.
SOME PROPERTIES OF SYMMETRIC BI-(σ, Τ)-DERIVATIONS IN NEAR-RINGS
Ceven, Yilmaz,Ozturk, Mehmet Ali Korean Mathematical Society 2007 대한수학회논문집 Vol.22 No.4
In this paper, we introduce a symmetric $bi-({\sigma},\;{\tau})-derivation$ in a near-ring and generalize some of the results in [5, 6, 8, 9].
DERIVATIONS ON SUBTRACTION ALGEBRAS
Ozturk, Mehmet Ali,Ceven, Yilmaz Korean Mathematical Society 2009 대한수학회논문집 Vol.24 No.4
In this paper, we introduce the notions of a derivation and a generalized derivation determined by a derivation for a complicated subtraction algebra. We give some related properties and equivalent conditions which derivations hold.
ON GENERALIZED LIE IDEALS IN SEMI-PRIME RINGS WITH DERIVATION
Ozturk, M. Ali,Ceven, Yilmaz The Youngnam Mathematical Society Korea 2005 East Asian mathematical journal Vol.21 No.1
The object of this paper is to study($\sigma,\;\tau$)-Lie ideals in semi-prime rings with derivation. Main result is the following theorem: Let R be a semi-prime ring with 2-torsion free, $\sigma$ and $\tau$ two automorphisms of R such that $\sigma\tau=\tau\sigma$=, U be both a non-zero ($\sigma,\;\tau$)-Lie ideal and subring of R. If $d^2(U)=0$, then d(U)=0 where d a non-zero derivation of R such that $d\sigma={\sigma}d,\;d\tau={\tau}d$.
GENERALIZED DERIVATIONS OF BCI-ALGEBRAS
Ozturk, Mehmet Ali,Ceven, Yilmaz,Jun, Young-Bae The Honam Mathematical Society 2009 호남수학학술지 Vol.31 No.4
The notion of generalized derivations of a BCI-algebra is introduced, and some related properties are investigated. Also, the concept of a torsion free BCI-algebra is introduced and some properties are discussed.