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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].
Yılmaz Ceven,Mehmet Ali Ozturk 대한수학회 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 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
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.