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Fragments de Théorie
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** Completion of Z-graded algebras: generalized Laurent's series **

**Abstract** These notes contain a realization of the completion of a
graded algebra (with respect to its associated filtration) as an algebra
of Laurent's series ([pdf]).

** Notes on a space with a pair of norms with a particular property **

**Abstract** These notes concern a space with a pair of norms with a particular property ([pdf]).

** A note on topological dual space for the pointwise convergence and continuous endomorphisms **

**Abstract** In this note, we prove that the topological dual of *K ^{X}* for

*K*an Hausdorff topological field is isomorphic to

*K*. As a consequence, we prove that in these conditions, the set of infinite matrices with finitely supported rows is equipotent to the set of all continuous endomorphisms. ([pdf]).

^{(X)}