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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Ideals generated by three elements

Author: Peter Kohn
Journal: Proc. Amer. Math. Soc. 35 (1972), 55-58
MSC: Primary 13D99
MathSciNet review: 0296064
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Abstract: Let R be a commutative Noetherian ring. Any finitely generated module's projective dimension is realized as the projective dimension of some cyclic module with three relations. This result was previously known for local rings.

References [Enhancements On Off] (What's this?)

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Keywords: Noetherian ring, homological dimension, triply generated ideals, associated primes, R-sequence
Article copyright: © Copyright 1972 American Mathematical Society

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