Resumen de Des anneaux aux conditions de chaines ascendantes sur les idéaux de type n

Anne-Marie Nicolas

• In this paper, written in honour of Professor P. Dubreil, we construct commutative rings with $n-acc$ property (i.e. every ascending chain of $n$-generated ideals stabilizes). The rings are obtained as subrings of rings which are known to be $n-acc$, using theorems of "$n-acc$ going-down" for rings which share an ideal. We got rings of the type $R + \mathcal{J}B$, of the type $D +\mathcal{J} .$ Some unsolved problems are stated.