cyclic identity

cyclic identity

[′sīk·lik ī‚den·təd·ē]
(mathematics)
The principle that the sum of any component of the Riemann-Christoffel tensor and two other components obtained from it by cyclic permutation of any three indices, while the fourth is held fixed, is zero.
References in periodicals archive ?
Using the cyclic identity for both of D and [??], for all a, b [member of] A we get
is a bounded derivation extending D; It is easy to see that [??] satisfies the cyclic identity. So there exists a net {[[LAMBDA].sub.[alpha]]} in A* and a net [r.sub.[alpha]] in C such that
Now if D : B [right arrow] B* is a cyclic derivation, then observe that P*DP satisfies the cyclic identity. So by applying the same argument as above, we obtain the statement for cyclic amenability.
Full browser ?