Geodesic
On PIC(D[α]) For a Principal Ideal Domain D
Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 114-116

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DOI

Let D be a PID with infinitely many maximal ideals. J. W. Brewer has asked whether some simple ring extension D[α] of D must have nontrivial Picard group. We show that this question has a negative answer.
DOI : 10.4153/CMB-1989-017-2
Mots-clés : 13B99, 13F10 
Gilmer, Robert; Heinzer, William. On PIC(D[α]) For a Principal Ideal Domain D. Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 114-116. doi: 10.4153/CMB-1989-017-2
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     author = {Gilmer, Robert and Heinzer, William},
     title = {On {PIC(D[\ensuremath{\alpha}])} {For} a {Principal} {Ideal} {Domain} {D}},
     journal = {Canadian mathematical bulletin},
     pages = {114--116},
     year = {1989},
     volume = {32},
     number = {1},
     doi = {10.4153/CMB-1989-017-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-017-2/}
}
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