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The News of Altai State University
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Content of 1(19) 2001
Mathematics and Computer Science
Mathematics and Computer Science

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E.V. Zhuravlev

S-radical extensions of rings

In the article the FS'Ck-rings are considered, where S'is one of following set.
The author proves the following results:
1) Let R be a PI-algebra without non-zero nill ideals over a field of the characteristic zero. If R is FS0Ck (FS1Ck)-algebra then R is commutative;
2) Let R be a torsion free FS3Ck-ring. If R does not contain nonzero nilpotent elements then R is commutative ring.

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