Noetherian Rings with Big Indecomposable Projective Modules | Zendy

Hodges T. J. | Zendy; Stafford J. T. | Zendy

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Noetherian Rings with Big Indecomposable Projective Modules

Author(s) -

Hodges T. J.,

Stafford J. T.

Publication year - 1989

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/21.3.249

Subject(s) - krull dimension , mathematics , indecomposable module , noetherian , global dimension , projective module , pure mathematics , finitely generated abelian group , dimension (graph theory) , local ring , noetherian ring , module , ring (chemistry) , projective test , discrete mathematics , regular local ring , algebra over a field , chemistry , organic chemistry

Let { s 1 : 1 ⩽ i < ∞} be a set of strictly positive integers. We produce an example of a ring R such that (a) R is a Noetherian domain, integral over its centre, of (classical or Rentschler‐Gabriel) Krull dimension one and (b) for each i there exists an indecomposable, finitely generated, projective right R ‐module P 1 such that P 1 has uniform dimension s 1 . This answers [3, Question B].

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