ore condition
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2009 ◽  
Vol 22 (7) ◽  
pp. 994-997 ◽  
Author(s):  
Meirun Chen ◽  
Xiaofeng Guo ◽  
Hao Li
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2008 ◽  
Vol 29 (7) ◽  
pp. 1587-1595 ◽  
Author(s):  
Rong Luo ◽  
Rui Xu ◽  
Jianhua Yin ◽  
Gexin Yu
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2008 ◽  
Vol 22 (1) ◽  
pp. 288-294 ◽  
Author(s):  
Genghua Fan ◽  
Chuixiang Zhou
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2006 ◽  
Vol 16 (04) ◽  
pp. 817-825 ◽  
Author(s):  
ZERRIN ESMERLIGIL ◽  
DILEK KAHYALAR ◽  
NAIME EKICI

Let F be a free Lie algebra of finite rank n and R be an ideal of F such that the universal enveloping algebra U(F/R) for F/R is an integral domain satisfying the Ore condition. We show that test rank for the Lie algebras of the form F/R′ is equal to n - 1 or n.


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