Geodesic
On the symmetric algebra of quotients of a C*-algebra
Glasgow mathematical journal, Tome 32 (1990) no. 3, pp. 377-379

Voir la notice de l'article provenant de la source Cambridge University Press

Let R be a semiprime ring (possibly without 1). The symmetric ring of quotients of R is defined as the set of equivalence classes of essentially defined double centralizers (ƒ, g) on R; see [1], [8]. So, by definition, ƒ is a left R-module homomorphism from an essential ideal I of R into R, g is a right R-module homomorphism from an essential ideal J of R into R, and they satisfy the balanced condition ƒ(x)y = xg(y) for x ∈ Iand y ∈ J. This ring was used by Kharchenko in his investigations on the Galois theory of semiprime rings [4] and it is also a useful tool for the study of crossed products of prime rings [7]. We denote the symmetric ring of quotients of a semiprime ring R by Q(R). 
Ara, Pere. On the symmetric algebra of quotients of a C*-algebra. Glasgow mathematical journal, Tome 32 (1990) no. 3, pp. 377-379. doi: 10.1017/S0017089500009460
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