Details:
Title  The general PBW property.  Author(s)  Huishi Li  Type  Article in Journal  Abstract  For ungraded quotients of an arbitrary ℤgraded ring, we define the general PBW property, that covers the classical PBW property and the Ntype PBW property studied via the NKoszulity by several authors (see [2–4]). In view of the noncommutative Gröbner basis theory, we conclude that every ungraded quotient of a path algebra (or a free algebra) has the general PBW property. We remark that an earlier result of Golod [5] concerning Gröbner bases can be used to give a homological characterization of the general PBW property in terms of Shafarevich complex. Examples of application are given.
 ISSN  10053867; 02191733/e 
URL 
http://www.worldscientific.com/doi/abs/10.1142/S1005386707000508 
Language  English  Journal  Algebra Colloq.  Volume  14  Number  4  Pages  541554  Publisher  World Scientific, Singapore; Chinese Academy of Sciences, Academy of Mathematics & Systems Science,  Year  2007  Edition  0  Translation 
No  Refereed 
No 
