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arXiv · 2408.04079

Universal equivalence of general linear groups over local rings with 1/2

Galina Kaleeva
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Abstract

In this study, it is proven that the universal equivalence of general linear groups (admitting the inverse-transpose automorphism) of orders greater than $2$, over local, not necessarily commutative rings with $1/2$, is equivalent to the coincidence of the orders of the groups and the universal equivalence of the corresponding rings.

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Galina Kaleeva. 2024-08-07. Universal equivalence of general linear groups over local rings with 1/2. https://doi.org/10.4213/sm9695e

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