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PRIME RADICALS OF SKEW LAURENT POLYNOMIAL RINGS
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 Title & Authors
PRIME RADICALS OF SKEW LAURENT POLYNOMIAL RINGS
Han, Jun-Cheol;
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 Abstract
Let R be a ring with an automorphism 17. An ideal [ of R is (-ideal of R if (I).= I. A proper ideal P of R is (-prime ideal of R if P is a -ideal of R and for -ideals I and J of R, IJ P implies that I P or J P. A proper ideal Q of R is -semiprime ideal of Q if Q is a -ideal and for a -ideal I of R, I Q implies that I Q. The -prime radical is defined by the intersection of all -prime ideals of R and is denoted by P(R). In this paper, the following results are obtained: (1) For a principal ideal domain R, P(R) is the smallest -semiprime ideal of R; (2) For any ring R with an automorphism and for a skew Laurent polynomial ring R[x, x; ], the prime radical of R[x, x; ] is equal to P(R)[x, x; ].
 Keywords
sigma-semiprime ring;sigma-prime ring;sigma-prime radical;skew Laurent polynomial rin;
 Language
English
 Cited by
1.
On primeness of general skew inverse Laurent series ring, Communications in Algebra, 2017, 45, 3, 919  crossref(new windwow)
2.
Some Results On Prime Skew Rings, Communications in Algebra, 2012, 40, 2, 779  crossref(new windwow)
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