FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 4, PAGES 1101-1105

Generalized identities with invertible variables for subrings of artinian rings

I.Z.Golubchik

Let R be a prime subring with 1 of the matrix ring D_k over a skew field D, $k \geq 1$. Suppose that the center C of R is infinite and elements of C belong to the center of D_k. Let G be an elementary absolute irreducible subgroup of the group U(R) of invertible elements of R with a nonzero generalized identity with invertible variables $f \in R \langle X,X^{-1}\rangle$, then R is a PI-ring.

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