Centrality of K2-functor revisited

نویسندگان

چکیده

We prove that St(n,A) is a crossed module over GL(n,A) under local stable rank condition on an algebra A commutative ring. Our proof uses only elementary localization techniques in terms of pro-groups and stability results for K1 K2. also similar result the Steinberg group associated with any sufficiently isotropic general linear constructed by quasi-finite algebra.

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2021

ISSN: ['1873-1376', '0022-4049']

DOI: https://doi.org/10.1016/j.jpaa.2020.106547