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

• Autores: Anne-Marie Nicolas
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 46, Fasc. 1-2, 1995 (Ejemplar dedicado a: Professor Paul Dubreil (In memoriam )), págs. 143-150
• Idioma: francés
• Enlaces
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• Resumen

  • 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.

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