Geodesic
Integrally Closed Condensed Domains are Bézout
Canadian mathematical bulletin, Tome 28 (1985) no. 1, pp. 98-102

Voir la notice de l'article provenant de la source Cambridge University Press

It is proved that an integral domain R is a Bézout domain if (and only if) R is integrally closed and I J = {ij|i ∊ I, j ∊ J} for all ideals I and J of R; that is, if (and only if) R is an integrally closed condensed domain. The article then introduces a weakening of the "condensed" concept which, in the context of the k + M construction, is equivalent to a certain field-theoretic condition. Finally, the field extensions satisfying this condition are classified.
DOI : 10.4153/CMB-1985-010-x
Mots-clés : 13F05, 13A15, 13G05, 13E05, 12F10 
Anderson, David F.; Arnold, Jimmy T.; Dobbs, David E. Integrally Closed Condensed Domains are Bézout. Canadian mathematical bulletin, Tome 28 (1985) no. 1, pp. 98-102. doi: 10.4153/CMB-1985-010-x
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