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- W2015767405 abstract "1.1. Let H be a Lie algebra over a field K, U(H) be its universal envelope. It is well known that U(H) is a domain (see [ 1, Section V.31) and the theorem of Cohn (see [2]) states that U(H) can be imbedded in a field.’ When H is locally finite U(H) has even a field of fractions (see [ 1, Theorem V.3.61). The class of Lie algebras whose universal envelope has a field of fractions is however .much wider than the class of locally finite Lie algebras; it follows from Proposition 4.1 of the article that it contains, for instance, all the locally soluble-by-locally finite algebras. This gives a negative answer of the question in [2], page 528. Let H satisfy any one of the following three conditions:" @default.
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- W2015767405 date "1984-05-01" @default.
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- W2015767405 title "Matrix rings and linear groups over a field of fractions of enveloping algebras and group rings, I" @default.
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- W2015767405 doi "https://doi.org/10.1016/0021-8693(84)90087-5" @default.
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