×

Note on projective modules. (English) Zbl 0733.13003

The author presents an elementary proof of the fact that any projective module of finite constant rank (all the localizations at prime ideals have the same (finite) rank) over a commutative ring R is finitely generated.
Reviewer: L.Bican (Praha)

MSC:

13C10 Projective and free modules and ideals in commutative rings
18G05 Projectives and injectives (category-theoretic aspects)
PDFBibTeX XMLCite
Full Text: EuDML