We have shown that certain non-commutative integral rings can be immersed in a field by a method which is not that of the construction of the field of fractions on the right
, or left
, of the ring
under consideration.
References
[1]
Cohn, P.M. (1966) Some Remarks on the Invariant Basirs Property. Topology, 5, 215-228. https://doi.org/10.1016/0040-9383(66)90006-1
[2]
Cohn, P.M. (1963) The Embedding of Firs in Skew Fields.
[3]
Cohn, P.M. (1965) Universal Algebra-New York-Harper and Row.
[4]
Cohn, P.M. (1969) Séminaire d’algèbre Non Commutative (1968-1969) or Say.
[5]
Cohn, P.M. (1967) Torsion Module over Free Ideal Rings. Proceedings of the London Mathematical Society, 3, 577-599. https://doi.org/10.1112/plms/s3-17.4.577
[6]
Cohn, P.M. (1969) Free Associative Algèbre. Bulletin of the London Mathematical Society, 1, 1-39. https://doi.org/10.1112/blms/1.1.1
[7]
Cohn, P.M. (1959) On the Free Product of Associative Rings. Mathematische Zeitschrift, 71, 380-398. https://doi.org/10.1007/BF01181410