DOUBLE ORE EXTENSIONS VERSUS ITERATED ORE EXTENSIONS

• Type: Article in International Scientific Journal
• Date: 2011

Authors

Paula A.A.B. Carvalho (Author) FCUP; Samuel A. Lopes (Author) FCUP; Jerzy Matczuk (Author) Other

Journal

Title: Communications in Algebra

Vol. 39 No. 8

Pages: 2838-2848

ISSN: 0092-7872

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 7 Citations

ISI Web of Science

Scopus - 8 Citations

Scientific classification

FOS: Natural sciences > Mathematics

CORDIS: Physical sciences > Mathematics > Algebra

Other information

Authenticus ID: P-002-X2N

DOI: 10.1080/00927872.2010.489532

Resumo (PT): 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 $A_P[y_1,y_2;\sigma,\delta,\tau]$ 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 $A[y_1;\sigma_1, \delta_1][y_2;\sigma_2, \delta_2]$. We also give partial answers to some questions posed in Zhang and Zhang (2008).

Abstract (EN): Motivated by the construction of new examples of Artin-Schelter regular algebras of global dimension four, Zhang and Zhang [6] introduced an algebra extension A(P)[y(1),y(2);sigma, delta, tau] 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 article is to describe those double Ore extensions which can be presented as iterated Ore extensions of the form A[y(1);sigma(1),delta(1)][y(2);sigma(2),delta(2)]. We also give partial answers to some questions posed in Zhang and Zhang [6].

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11