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Non-Artinian essential extensions of simple modules

  • Goodearl K
  • Schofield A
Proceedings of the American Mathematical Society (1986) 97(2) 233-236
DOI: 10.1090/s0002-9939-1986-0835871-0
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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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APA

Goodearl, K. R., & Schofield, A. H. (1986). Non-Artinian essential extensions of simple modules. Proceedings of the American Mathematical Society, 97(2), 233–236. https://doi.org/10.1090/s0002-9939-1986-0835871-0

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