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Communications in Algebra Volume 26, 1998 - Issue 12

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Original Articles

A note on principally injective rings

Weimin Xue Department of Mathematics, Fujian Normal University, Fuzhou, Fujian, 350007, People’s Republic of China

Pages 4187-4190 | Received 01 Sep 1997, Published online: 27 Jun 2007

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https://doi.org/10.1080/00927879808826404

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Abstract

Let R be a right principally injective and right kasch ring. In this note we show that if R is semisimple modulo its Jacobson radical then R is left finite deimensional. This answer an open question of Nicholson and Yousif.

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