This article is cited in 17 papers

On generalized $(\sigma,\tau)$-derivations

N. Argaç, E. Albaş

Department of Mathematics, Science Faculty, Ege University, 35100 Bornova, Izmir, Turkey

Abstract: We generalize the notion of $(\sigma,\tau)$-derivation of Nakajima and Bresar. We define the generalized $(\sigma,\tau)$-derivations, generalized Jordan $(\sigma,\tau)$-derivations, and generalized Lie $(\sigma,\tau)$-derivations. We study interrelations between these classes of derivations as well as their homological properties.

Keywords: generalized derivation, noncommutative ring, bimodule, exact sequence of modules, splitting sequence.

UDC: 512.5

Received: 25.03.2002

 English version: Siberian Mathematical Journal, 2002, 43:6, 977–984

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