Prüfer Conditions in an Amalgamated Duplication of a Ring Along an Ideal

M. Chhiti, M. Jarrar, S. Kabbaj, N. Mahdou
2014 Communications in Algebra  
We investigate the transfer of some homological properties from a ring R to its amalgamated duplication along some ideal I of R R I, and then generate new and original families of rings with these properties. This construction has been studied, in the general case, and from different points of view of pullbacks, by D'Anna and Fontana [7] . Also, D'Anna and Fontana, [5] have considered the case of the amalgamated duplication of a ring, not necessarily in a Noetherian setting, along a
more » ... ve-canonical ideal in the sense of Heinzer-Huckaba-Papick MSC(2010): Primary: 13F05, 13B05; Secondary: 13D02, 13D05. Keywords: Amalgamated duplication of a ring along an ideal, von Neumann regular ring, perfect ring, (n, d)-ring and weak (n, d)-ring.
doi:10.1080/00927872.2014.897575 fatcat:m2h4fylfyjbdzfhy5j4ojzfmnm