DOUBLE ORE EXTENSIONS VERSUS ITERATED ORE EXTENSIONS

• Tipo: Artigo em Revista Científica Internacional
• Data: 2011

Autores

Paula A.A.B. Carvalho (Autor) FCUP; Samuel A. Lopes (Autor) FCUP; Jerzy Matczuk (Autor) Outra

Revista

Título: Communications in Algebra

Vol. 39 Nº 8

Páginas: 2838-2848

ISSN: 0092-7872

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 7 Citações

ISI Web of Science

Scopus - 8 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

CORDIS: Ciências Físicas > Matemática > Álgebra

Outras Informações

ID Authenticus: 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].

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 11