Scientific journal "The News of Altai State University". 2001 #1(19). Mathematics and Computer Science.

Scientific journal of the
theoretical and applied
researches

Print ISSN 1561-9443
On-line ISSN 1561-9451

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	Content of 1(19) 2001
		Mathematics and Computer Science
		Physics

1(19)

2001

$Mathematics and Computer Science$

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E.V. Zhuravlev

S-radical extensions of rings

In the article the FS'C_k-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 FS₀C_k (FS₁C_k)-algebra then R is commutative;

2) Let R be a torsion free FS₃C_k-ring. If R does not contain nonzero nilpotent elements then R is commutative ring.

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