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Derivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type
Derivation-Simple Algebras Structures Lie Algebras of Witt Type
2010/11/1
We classify all the pairs of a commutative associative algebra with an identity element and its finite-dimensional commutative locally-finite derivation subalgebra such that the commutative associati...
An improved (streamlined and extended) version of this paper is available as math.RA/0203010, which however omits some details. We recommend the later version unless details are essential.
In this paper we prove several theorems about the behavior of index of Lie algebras derived from associative algebras under tensor products of underlying associative algebras.