A Remark on Double Ore Extensions

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Chin. Quart. J. of Math.
2019, 34 (1): 99-110

A Remark on Double Ore Extensions

Qining Li

(School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China)

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
2000 MR Subject Classification: 16S36; 16S38
CLC number: O153.3 Document code: A
Article ID: 1002-0462 (2019) 01-0099-12
Received date: 2019-01-16
Revised date: 2019-02-22
Accepted date: 2019-03-07
Published date: 2019-03-30