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		{\large Isaev, I.M.}
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		{\Large {On the Identities of Jordan Algebras of Bilinear Forms Over Finite Fields} }
		
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	\noindent{\sc Abstract. } Yu. A. Medvedev  proved that the variety generated by a finite Jordan algebra is Cross.
In particular, it is shown that such a variety has a finite basis of identities.
For the class $\Re$ of Jordan algebras of symmetric non-degenerate linear forms over finite fields,
the present work constructs a finite basis of identities. This is done by studying critical algebras of the variety.
Note that the basis of identities for the algebra of bilinear forms over an infinite field was found by S. Yu. Vasilovsky.

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\noindent{\bf Keywords:} zero-divizor graf, alternative ring, non-associative ring.
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