Geodesic
A Characterization of Intrinsic Functions on
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 136-146

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

Let be an associative algebra over the field and let be the group of all automorphisms and anti-automorphisms of which leave elementwise invariant. A function Fwith domain and range contained in is called an intrinsic functionon if (i) for each Ω in and (ii) F(ΩZ) = ΩF(Z) for every Z in .Rinehart (5) has introduced and motivated the study of the class of intrinsic functions on , and has characterized these functions for the cases in which is the algebra of real quaternions, the algebra of n × ncomplex matrices, or the algebra of n× nreal matrices (5; 6). The algebras listed above, along with the algebra of n × nquaternion matrices, constitute the full list of possibilities for the simple direct summands of any semi-simple algebra over or ; see (2). 
Carlson, R. E.; Cullen, C. G. A Characterization of Intrinsic Functions on. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 136-146. doi: 10.4153/CJM-1969-012-5
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