A structure sheaf for a noncommutative Noetherian ring

Goldston, Beth; Mewborn, A. C.

doi:10.1016/0021-8693(77)90207-1

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1978

1995

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Cited by 8 publications

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“…In Goldston and Mewborn (1975) we define Speci?, the spectrum of an arbitrary left noetherian ring R, to be the set of isomorphism classes of indecomposable injective left i?-modules, and define a topology on Speci? which reduces to the usual Zariski topology when i?…”

Section: Introductionmentioning

confidence: 99%

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The structure sheaf of an incidence algebra

Barnwell

Mewborn²

1978

J. Aust. Math. Soc.

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Section: Introductionmentioning

confidence: 99%

“…For a detailed description of the spectrum of a left noetherian ring and the structure sheaf over its spectrum, see Goldston and Mewborn (1977). For standard notions on torsion theories and quotient rings, see Stenstrom (1971), and for the notions of Krull dimension and critical modules, refer to Gordon and Robson (1973).…”

Section: Introductionmentioning

confidence: 99%