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arXiv · 0909.3238

Double Ore Extensions versus Iterated Ore Extensions

Paula A. A. B. Carvalho·Samuel A. Lopes·Jerzy Matczuk
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Abstract

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 $A_P[y_1,y_2;σ,δ,τ]$ 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 $A[y_1;σ_1, δ_1][y_2;σ_2, δ_2]$. We also give partial answers to some questions posed in Zhang and Zhang (2008).

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BibTeXRIS

Paula A. A. B. Carvalho, Samuel A. Lopes, Jerzy Matczuk. 2009-09-17. Double Ore Extensions versus Iterated Ore Extensions. https://arxiv.org/abs/0909.3238

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