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On the Faith-Utumi theorem

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Publication:3970293
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DOI10.1007/BF02107965zbMath0736.16009MaRDI QIDQ3970293

Xu Yonghua

Publication date: 25 June 1992

Published in: Acta Mathematica Sinica (Search for Journal in Brave)


zbMATH Keywords

skew fieldGoldie's theoremprime right Goldie ringsright orderFaith-Utumi theoremsimple artinian algebra


Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)





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