Hidden constructions in abstract algebra (6): The theorem of Maroscia and Brewer & Costa
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摘要
We give a constructive deciphering for a generalization of the Quillen–Suslin theorem due to Maroscia and Brewer & Costa stating that finitely generated projective modules over g src="http://www.sciencedirect.com/cache/MiamiImageURL/B6V0K-4RFD3V5-1-3G/0?wchp=dGLbVlW-zSkzS" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=13 width="86"/>, where g src="http://www.sciencedirect.com/cache/MiamiImageURL/B6V0K-4RFD3V5-1-DK/0?wchp=dGLbVlW-zSkzS" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=10 width="12"/> is a Prüfer domain with Krull dimension ≤1, are extended from g src="http://www.sciencedirect.com/cache/MiamiImageURL/B6V0K-4RFD3V5-1-GR/0?wchp=dGLbVlW-zSkzS" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=10 width="12"/>.

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