p-Inj ectivity and Artinian Semisimple Rings
Received:November 23, 1989  
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Fund ProjectL:The author is supported by Grant of Anhui Education Council.
Author NameAffiliation
Zhang Jule Dept. Math.
Anhui Normal University
Wuhu 
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Abstract:
      Since several years, Artinian semisirnple rings have drawn the attention of various authors (cf. for example, [l]-[10]). The purpose of this paper is to characterize Artinian semisimple rings in terms of P- in jectivity. New characteri-zations of Artinian semisimple rings are obtained. Necessary and sufficient con-ditions for prime rings to be Artinian simple are given. Several interesting pro-perties of P- injective rings are derived.
Citation:
DOI:10.3770/j.issn:1000-341X.1991.04.023
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