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Notes on (?, ?)-derivations of lie ideals in prime rings

Gölbaş O.; O?uz S. (2012)

Let R be a prime ring with center Z and characteristic different from two, U a nonzero Lie ideal of R such that u2 ? U for all u ? U and d be a nonzero (?, ?)-derivation of R. We prove the following results: (i) If [d(u), ...
Notes on near-ring ideals with (?, ?)-derivation

Gölbaşı Ö.; Yazarlı H. (2015)

In the present paper, we extend some well known results concerning derivations of prime near-rings in [4], [5] and [13] to (?; ?)– derivations and semigroup ideals of prime near-rings. © 2015, Hacettepe Journal of Mathematics ...