Chinese Quarterly Journal of Mathematics ›› 2019, Vol. 34 ›› Issue (1): 99-110.doi: 10.13371/j.cnki.chin.q.j.m.2019.01.011

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A Remark on Double Ore Extensions

  

  1. School Of Mathematical Sciences, ZheJiang University
  • Accepted:2018-03-07 Online:2019-03-30 Published:2020-10-07
  • About author:LI Qi-Ning(1989-), male, native of Ningbo, Zhejiang, a Ph.D. student of Zhejiang University, engages in Hopf algebras and homological algebras.

Abstract: The aim of this article is to summarize the relationship between double Ore extensions and iterated Ore extensions, and mainly describe the lifting of properties from an algebra A to a(right) double Ore extension B of A which can not be presented as iterated Ore extensions. 

Key words: double Ore extension, iterated Ore extension, lifting of properties

CLC Number: