Embedding free algebras in skew fields

Fisher, J. L.

doi:10.1090/S0002-9939-1971-0281750-9

Embedding free algebras in skew fields
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by J. L. Fisher PDF

Proc. Amer. Math. Soc. 30 (1971), 453-458 Request permission

Abstract:

This paper constructs a minimal element in the partial order on the set of skew fields generated by a free algebra, and shows that the partial order contains a certain sub partial order. Examples of embedding free algebras in skew fields of heights one and two are also given.

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