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On the projectivity of finitely generated flat modules

2017/01/26 by Tarizadeh, Abolfazl
#13C10 #13C11 #13E99 #19A13 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1701.07735

Abstract

In this paper, the projectivity of a finitely generated flat module of a commutative ring is studied through its exterior powers and invariant factors and then various new results are obtained. Specially, the related results of Endo, Vasconcelos, Wiegand, Cox-Rush and Puninski-Rothmaler on the projectivity of finitely generated flat modules are generalized.

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