Geodesic
Pseudo-Integrality
Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 15-22

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DOI

Let R be an integral domain. An element u of the quotient field of R is said to be pseudo-integral over R if uIv ⊆ Iv for some nonzero finitely generated ideal I of R. The set of all pseudo-integral elements forms an integrally closed (but not necessarily pseudo-integrally closed) overling R ofR. It is shown that , where X is a family of indeterminates; pseudo-integrality is analyzed in rings of the form D + M; and an example is given to show that pseudo-integrality does not behave well with respect tolocalization.
DOI : 10.4153/CMB-1991-003-5
Mots-clés : 13G05, 13B20, 13F05 
Anderson, David F.; Houston, Evan G.; Zafrullah, Muhammad. Pseudo-Integrality. Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 15-22. doi: 10.4153/CMB-1991-003-5
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-003-5/}
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