Overrings of Bezout Domains
Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 475-477
Voir la notice de l'article provenant de la source Cambridge University Press
In [2] Brungs shows that every ring T between a principal (right and left) ideal domain R and its quotient field is a quotient ring of R. In this note we obtain similar results without assuming the ascending chain conditions. For a (right and left) Bezout domain R we show that T is a quotient ring of R which is again a Bezout domain; furthermore Tis a valuation domain if and only if T is a local ring.
Beauregard, Raymond A. Overrings of Bezout Domains. Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 475-477. doi: 10.4153/CMB-1973-078-0
@article{10_4153_CMB_1973_078_0,
author = {Beauregard, Raymond A.},
title = {Overrings of {Bezout} {Domains}},
journal = {Canadian mathematical bulletin},
pages = {475--477},
year = {1973},
volume = {16},
number = {4},
doi = {10.4153/CMB-1973-078-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-078-0/}
}
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