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http://dx.doi.org/10.4134/CKMS.c180082

NORMALITY ON JACOBSON AND NIL RADICALS  

Kim, Dong Hwa (Department of Mathematics Education Pusan National University)
Yun, Sang Jo (Department of Mathematics Dong-A University)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.1, 2019 , pp. 127-136 More about this Journal
Abstract
This article concerns the normal property of elements on Jacobson and nil radicals which are generalizations of commutativity. A ring is said to be right njr if it satisfies the normal property on the Jacobson radical. Similarly a ring is said to be right nunr (resp., right nlnr) if it satisfies the normal property on the upper (resp., lower) nilradical. We investigate the relations between right duo property and the normality on Jacobson (nil) radicals. Related examples are investigated in the procedure of studying the structures of right njr, nunr, and nlnr rings.
Keywords
right njr; right nunr; right nlnr; Jacobson radical; upper nilradical; lower nilradical; Abelian ring; right duo ring; reduced ring; matrix ring; polynomial ring;
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Times Cited By KSCI : 1  (Citation Analysis)
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