J. Aust. Math. Soc.
80 (2006), 263-272
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On semiprime segments of rings
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R. Mazurek
Faculty of Computer Science
Bialystok Technical University
Wiejska 45A
15-351 Bialystok
Poland
mazurek@pb.bialystok.pl
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Abstract
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A semiprime segment of a ring
 is a pair
 of semiprime ideals of
 such that
 for all ideals
 of
 with
 . In this paper semiprime segments with
 a comparizer ideal are classified as either
simple, exceptional, or archimedean, extending to
several classes of rings a classification known
for right chain rings. These three types of
semiprime segments are also characterized in
terms of the pseudo-radical.
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Australian Mathematical Publishing Association Inc.
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©
Australian MS
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