It is proved that the universal equivalence of general or special linear groups of orders greater than 2 over local commutative rings with 1/2 is equivalent to the coincidence of orders of groups and universal equivalence of respective rings.
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G. A. Kaleeva Supported by Russian Science Foundation, project No. 16-11-10013.
Translated from Algebra i Logika, Vol. 58, No. 4, pp. 467-478, July-August, 2019.
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Kaleeva, G.A. Universal Equivalence of Linear Groups Over Local Commutative Rings with 1/2. Algebra Logic 58, 313–321 (2019). https://doi.org/10.1007/s10469-019-09552-0
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DOI: https://doi.org/10.1007/s10469-019-09552-0