Abstract
This paper is concerned with the relationships that hold between finiteness and divisibility properties of flat ideals of integral domains. Brought out often is the role of the arithmetic of a ring in the finiteness of its flat ideals.
Similar content being viewed by others
References
Bourbaki, N.: Algèbre Commutative. Chap I-VII. Paris: Hermann 1961–1965.
Grothendieck, A.:Éléments de Géométrie Algébrique. Paris: Pub1. Math. IHES 11, 1961.
Heinzer, W., Ohm, J.: The finiteness of I when R[x]/I is R-flat II. Proc. Amer. Math. Soc.35, 1–8 (1972).
Ohm, J., Rush, D.: The finiteness of I when R[x]/I is flat. Trans. Amer. Math. Soc.171, 377–408 (1972).
Sally, J.D., Vasconcelos, W.V.: Flat ideals I. Comm. in Alg.3, 531–543 (1975).
Vasconcelos, W.V.: On projective modules of finite rank. Proc. Amer. Math. Soc.22, 430–433 (1969).
—: Divisor Theory in Module Categories. Math. Studies14. Amsterdam: North-Holland 1974.
Zariski, O., Samuel, P.: Commutative Algebra. Vol.II. Princeton: Van Nostrand 1958.
Author information
Authors and Affiliations
Additional information
Supported in part by NSF grant GP-33133X.
Rights and permissions
About this article
Cite this article
Glaz, S., Vasconcelos, W.V. Flat ideals II. Manuscripta Math 22, 325–341 (1977). https://doi.org/10.1007/BF01168220
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01168220