BASIC PROPERTIES OF I-ADIC ALGEBRA

A LAZRAQ KHLASS, M OUDADESS

Résumé


In this paper we study the basic properties of the I-adic algebras (spectrum, radius of regularity, group of inversible elements, entire functions, etc.).

Mots-clés


Algebra ; Topology ; I-adic ; spectrum ; radius of regularity ; entire functions

Texte intégral :

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Références


- Bonsall F.F. and Duncan J. , "Complete normed algebras", Spinger-Verlarg, Berlin Heidelberg, New York, (1973).

- Lafon J.P., "Algèbre commutative", Hermann, Paris, (1977).

- Morris P.D. and Wulbert D.E., "Functional representation of topological algebras", Pacific Journal of Mathematics, Vol. 22, N°2, (1967), pp. 323-337.

- Rolewicz S., "Some remarks on radicals in commutative B0-algebras", Bull. Acad. Polonaise. Sc. Math., 15, (1967), pp..153-155.


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