On the projectivity of finitely generated flat modules
DOI:
https://doi.org/10.17398/2605-5686.35.1.55Keywords:
exterior power, invariant factor, projectivity, S-ring, specialization cone, generalization coneAbstract
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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