Non-Artinian essential extensions of simple modules

Goodearl, K. R.; Schofield, A. H.

doi:10.1090/S0002-9939-1986-0835871-0

Non-Artinian essential extensions of simple modules
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by K. R. Goodearl and A. H. Schofield PDF

Proc. Amer. Math. Soc. 97 (1986), 233-236 Request permission

Abstract:

A noetherian ring of Krull dimension one is constructed which possesses a simple module with a cyclic non-artinian essential extension. The construction also provides an example of a torsionfree noetherian bimodule which fails to satisfy Jategaonkar’s density condition.

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