  This paper contains two remarks on Beilinson's adeles with values in the De
Rham complex of a scheme. The first is an interpretation, in terms of adeles,
of the decomposition of the De Rham complex on a scheme defined modulo $p^{2}$
(the result of Deligne-Illusie). The second remark is about the possible
relation between adeles and Hodge decomposition. We work out a counter example.
