The Problem of Global Nilpotency
Theorem 1.7.4 is optimal in a very definite sense of that word. We shall show in § 3 below that it ceases to hold if the local condition is removed from the statement. In such a case, we say that a Lie algebra L with Ep-1 (p is the characteristic of the ground field) is not globally nilpotent.
KeywordsAssociative Algebra Free Algebra Verbal Ideal Nilpotency Class Nilpotent Ideal
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