PORTUGALIAE MATHEMATICA Vol. 51, No. 1, pp. 1323 (1994) 

Transfert de la Notion de $C$anneaux aux Produits FibresOthman EchiDépartement de Mathématiques, Faculté des Sciences de Sfax,Route de Soukra, 3038 Sfax  TUNISIE Abstract: Let $T$ be a domain and $M$ a maximal ideal of $T$. Let $\varphi: T\to K$ be the canonical surjection where $K=T/M$. We consider the ring $R=\varphi^{1}(D)$, where $D$ is a subring of $K$ with quotient field $k$. It is proved here that if $T$ and $D$ are $C$rings [8] and $K$ is algebraic over $k$, then $R$ is also a $C$ring. Other results concerning $C$rings are also given. Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1994 Sociedade Portuguesa de Matemática
