Scientific journal "The News of Altai State University". 1999 #1(11). 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(11) 1999
		Mathematics and Computer Science
		Physics
		New Educational Technologies

1(11)

1999

$Mathematics and Computer Science$

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Y.N. Maltsev, E.S. Chibrikov

Commutativity of F-operator algebras which satisfy an identity in one variable

Let be a finitely generated principal ideal domain and

. It is proved that arbitrary F-algebra which satisfies the identity f(x)=0 is commutative if and only if either a₁ is a unit or

, where l is a unit, p_i the are irreducible, i < s, and there are the following conditions:

;

2) (a₁, a₂) = 1;

is not an identity in

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