Geodesic
On Inc-Extensions and Polynomials with Unit Content
Canadian mathematical bulletin, Tome 23 (1980) no. 1, pp. 37-42

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DOI

It is proved that if u is an element of a faithful algebra over a commutative ring R, then u satisfies a polynomial over R which has unit content if and only if the extension R ⊂ R[u] has the imcomparability property. Applications include new proofs of results of Gilmer-Hoffmann and Papick, as well as a characterization of the P-extensions introduced by Gilmer and Hoffmann.
DOI : 10.4153/CMB-1980-005-8
Mots-clés : 13A15, 13F05, 13B20, 13B25, Prime ideal, p-extension, incomparability property, integral closure, Priifer domain, lying-over property, going-up property, coherent ring 
Dobbs, David E. On Inc-Extensions and Polynomials with Unit Content. Canadian mathematical bulletin, Tome 23 (1980) no. 1, pp. 37-42. doi: 10.4153/CMB-1980-005-8
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     title = {On {Inc-Extensions} and {Polynomials} with {Unit} {Content}},
     journal = {Canadian mathematical bulletin},
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     year = {1980},
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     number = {1},
     doi = {10.4153/CMB-1980-005-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-005-8/}
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