具有 1/2 的局部环上一般线性群的普遍等价性

arXiv - MATH - Rings and Algebras Pub Date : 2024-08-07 DOI:arxiv-2408.04079

Galina Kaleeva

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引用次数: 0

摘要

在这项研究中，我们证明了阶数大于 2 美元的一般线性群（允许反转自形变）在具有 1/2 美元的局部不一定交换环上的普遍等价性，等价于群的阶数与相应环的普遍等价性的重合。

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

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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arXiv - MATH - Rings and Algebras

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