DOUBLE ORE EXTENSIONS VERSUS ITERATED ORE EXTENSIONS

作者:Carvalho Paula A A B; Lopes Samuel A; Matczuk Jerzy*
来源:Communications in Algebra, 2011, 39(8): 2838-2848.
DOI:10.1080/00927872.2010.489532

摘要

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].

  • 出版日期2011