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Chinese
E-Simple Rings in the Class of All Associative Rings
Received:February 27, 1995
Key Words
:
radical
idempotent ring
nilpotent ring.
Fund Project
:
Author Name
Affiliation
Yong Xiqi
Dept. of Math.
Anhui University
Hefei 230039
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Abstract
:
In the class of all associative rings we defined E-simple ring for idempotent radical class E . It is proved that R is E-simple ring iff for any I,0≠I(?)R,I≠R,I
2
α
=0 for some ordinal number α.
Citation:
DOI
:
10.3770/j.issn:1000-341X.1998.01.026
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