@article{10.2307/1996839,
    Abstract = {Let KF be the group algebra over the commutative field K of the free group F. It is proved that the field generated by KF in any Mal'cev-Neumann embedding for KF is the universal field of fractions U(KF) of KF. Some consequences are noted. An example is constructed of an embedding $KF \subset D$ into a field D with $D \not\simeq U(KF)$. It is also proved that the generalized free product of two free groups can be embedded in a field.},
    Author = {Lewin, Jacques},
    File = {Fields of Fractions for Group Algebras of Free Groups - 1996839 - k.pdf},
    ISSN = {00029947},
    Journal = {Transactions of the American Mathematical Society},
    Pages = {339--346},
    Publisher = {American Mathematical Society},
    Title = {Fields of Fractions for Group Algebras of Free Groups},
    URL = {http://www.jstor.org/stable/1996839},
    URLDate = {2022-05-06},
    Volume = {192},
    Year = {1974},
    bdsk-url-1 = {http://www.jstor.org/stable/1996839},
    date-added = {2022-05-06 09:07:36 +0200},
    date-modified = {2022-05-06 09:07:36 +0200},
    doi = {10.2307/1996839}
}

@article{10.2307/1996839, Abstract = {Let KF be the group algebra over the commutative field K of the free group F. It is proved that the field generated by KF in any Mal'cev-Neumann embedding for KF is the universal field of fractions U(KF) of KF. Some consequences are noted. An example is constructed of an embedding $KF \subset D$ into a field D with $D \not\simeq U(KF)$. It is also proved that the generalized free product of two free groups can be embedded in a field.}, Author = {Lewin, Jacques}, File = {Fields of Fractions for Group Algebras of Free Groups - 1996839 - k.pdf}, ISSN = {00029947}, Journal = {Transactions of the American Mathematical Society}, Pages = {339--346}, Publisher = {American Mathematical Society}, Title = {Fields of Fractions for Group Algebras of Free Groups}, URL = {http://www.jstor.org/stable/1996839}, URLDate = {2022-05-06}, Volume = {192}, Year = {1974}, bdsk-url-1 = {http://www.jstor.org/stable/1996839}, date-added = {2022-05-06 09:07:36 +0200}, date-modified = {2022-05-06 09:07:36 +0200}, doi = {10.2307/1996839} }