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On separable extensions of group rings and quaternion rings
1978
International Journal of Mathematics and Mathematical Sciences
The purposes of the present paper are (1) to give a necessary and sufficient condition for the uniqueness of the separable idempotent for a separable group ring extensionRG(Rmay be a non-commutative ring), and (2) to give a full description of the set of separable idempotents for a quaternion ring extensionRQover a ringR, whereQare the usual quaternionsi,j,kand multiplication and addition are defined as quaternion algebras over a field. We shall show thatRGhas a unique separable idempotent if
doi:10.1155/s0161171278000435
fatcat:xdbbak4owjgl5n47ttq4sl6q2m