What features will be different when we define a Lie algebras over a field and when we consider a Lie algebras over commutative ring?
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This is a rather broad question. Are there some particular features you are interested in? – Eric Wofsey Jan 16 '17 at 22:54
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I want to investigate the Groebner-Shirshov basis of Lie algebras. – Nil Jan 16 '17 at 22:57
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Well, they don't work, since Lie Algebras do not have to be free as modules. – Mariano Suárez-Álvarez Jan 16 '17 at 23:02