Geodesic
Elementary equivalence of unitary linear groups over rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 2, pp. 13-27.

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We find necessary and sufficient conditions for two unitary linear groups over rings with involution with forms of hyperbolic rank at least 2 to be elementarily equivalent. 
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E. S. Balmasov; E. I. Bunina. Elementary equivalence of unitary linear groups over rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 2, pp. 13-27. http://geodesic.mathdoc.fr/item/FPM_2008_14_2_a1/

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