Double Ore Extensions versus Iterated Ore Extensions
نویسندگان
چکیده
Motivated by the construction of new examples of Artin-Schelter regular algebras of global dimension four, J.J.Zhang and J.Zhang (2008) introduced an algebra extension AP [y1, y2;σ, δ, τ ] of A, which they called a double Ore extension. This construction seems to be similar to that of a two-step iterated Ore extension over A. The aim of this paper is to describe those double Ore extensions which can be presented as iterated Ore extensions of the form A[y1;σ1, δ1][y2;σ2, δ2]. We also give partial answers to some questions posed in Zhang and Zhang (2008).
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