Geodesic
Hilbert Rings Arising as Pullbacks
Canadian mathematical bulletin, Tome 35 (1992) no. 4, pp. 431-438

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

Let R be the pullback A ×cB, where B → C is a surjective homomorphism of commutative rings and A is a subring of C. It is shown that R and C are Hilbert rings if and only if A and B are Hilbert rings. Applications are given to the D + XE[X], D + M, and D + (X1,..., Xn)Ds[X1,..., Xn] constructions. For these constructions, new examples are given of Hilbert domains R which are unruly, in the sense that R is non-Noetherian and each of its maximal ideals is finitely generated. Related examples are also given.
DOI : 10.4153/CMB-1992-057-4
Mots-clés : 13A15, 13D99, 13G05 
Anderson, David F.; Dobbs, David E.; Fontana, Marco. Hilbert Rings Arising as Pullbacks. Canadian mathematical bulletin, Tome 35 (1992) no. 4, pp. 431-438. doi: 10.4153/CMB-1992-057-4
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