Sur les demi-groupes de fractions
Demi-groupes de fractions et plongement d'un demi-groupe dans un groupe
Interprétation factorielle du nombre de classes dans les ordres des corps quadratiques
Propriétés des demi-groupes de fractions
Propriétés des demi-groupes de fractions
Another way for associating a graph to a group
Some generalizations of Olivier's theorem
Let be a convergent series of positive real numbers. L. Olivier proved that if the sequence is non-increasing, then . In the present paper: (a) We formulate and prove a necessary and sufficient condition for having ; Olivier’s theorem is a consequence of our Theorem . (b) We prove properties analogous to Olivier’s property when the usual convergence is replaced by the -convergence, that is a convergence according to an ideal of subsets of . Again, Olivier’s theorem is a consequence of...
Characterization of simple orbit graphs.
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