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On normal flatness and normal torsion-freeness. (English) Zbl 0349.13004


MSC:

13C10 Projective and free modules and ideals in commutative rings
13E05 Commutative Noetherian rings and modules
13H99 Local rings and semilocal rings
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References:

[1] Grothendieck, A., Éléments de géométrie algébrique, I.H.E.S., Publ. Math. Paris, 32 (1967) · Zbl 0153.22301
[2] Herrmann, M.; Schmidt, R., Zur transitivität der normalen Flacheit, Invent. Math., 28 (1975) · Zbl 0278.14008
[3] Hironaka, H., Resolution of singularities of an algebraic variety over a field of characteristic zero. I, Ann. of Math., 79 (1964) · Zbl 0122.38603
[4] Hochster, M., Criteria for equality of ordinary and symbolic powers of primes, Math. Z., 133 (1973) · Zbl 0251.13012
[5] Kaplansky, I., Commutative Rings (1970), Allyn and Bacon: Allyn and Bacon Boston · Zbl 0203.34601
[6] Rees, D., The grade of an ideal or module, (Proc. Cambridge Philos. Soc., 53 (1957)) · Zbl 0079.26602
[7] L. Robbiano and G. VallaPacific J. Math.; L. Robbiano and G. VallaPacific J. Math. · Zbl 0308.13003
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