Prime non-Lie modules for Mal'tsev superalgebras

1994 ◽  
Vol 33 (4) ◽  
pp. 253-262 ◽  
Author(s):  
I. P. Shestakov ◽  
A. Elduque
Keyword(s):  
Lie Modules

scholarly journals ASYMPTOTIC BEHAVIOUR OF LIE POWERS AND LIE MODULES

2011 ◽  
Vol 63 (4) ◽  
pp. 845-853 ◽  
Author(s):  
R. M. Bryant ◽  
K. J. Lim ◽  
K. M. Tan
Keyword(s):  
Asymptotic Behaviour ◽  
Lie Modules

scholarly journals Periodic Lie modules

2016 ◽  
Vol 445 ◽  
pp. 280-294
Author(s):  
Kay Jin Lim ◽  
Kai Meng Tan
Keyword(s):  
Lie Modules

Free and Injective Lie Modules*

1966 ◽  
Vol 9 (1) ◽  
pp. 29-42 ◽  
Author(s):  
Israel Kleiner
Keyword(s):  
Lie Ring ◽  
Direct Sum ◽  
Lie Modules ◽  
The Relationship

We study free and injective Lie modules by investigating the relationship between Lie modules and (associative) modules. An important role is played by the universal enveloping ring of a Lie ring [4]. If L is an arbitrary Lie ring and W(L) its universal enveloping ring, we show that the category of Lie L-modules and the category of associative W(L)-module s are isomorphic (section 2). In section 3 we study free Lie modules and show how they may be obtained from free associative modules. A Lie module is free if and only if it is a direct sum of copies of the free Lie module on one generator.

scholarly journals Irreducible Non-Lie Modules for Malcev Superalgebras

1995 ◽  
Vol 173 (3) ◽  
pp. 622-637 ◽  
Author(s):  
A. Elduque ◽  
I.P. Shestakov
Keyword(s):  
Lie Modules
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