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A NOTE ON WEAKLY PRIMITIVE RINGS

A NOTE ON WEAKLY PRIMITIVE RINGS
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摘要 It is well known that,for a subring of a full linear ring over a vector spaec,2-foldtransitive implies k-fold transitive for every natual integer k,and a primitive ring withminimal oneside ideal is a two side nonsingular ring and every isomorphism can be inducedby a semi-linear one to one transformation.This paper generalizes these results to weaklyprimitive rings. It is well known that, for a subring of a full linear ring over a vector spaec, 2-fold transitive implies k-fold transitive for every natural integer k, and a primitive ring with minimal oneside ideal is a two side nonsingular ring and every isomorphism can be induced by a semi-linear one to one transformation. This paper generalizes these results to weakly primitive rings.
作者 郭善良
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1991年第2期207-212,共6页 数学年刊(B辑英文版)
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