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Actions of pro-groups and pro-rings

math.GR · 2022-05-26 · unverdicted · novelty 6.0

Internal actions in semi-abelian categories of pro-groups and non-unital pro-rings are described explicitly via actions of group/ring objects in Pro(Set), with the analogous statement shown to fail for Lie algebras.

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  • Actions of pro-groups and pro-rings math.GR · 2022-05-26 · unverdicted · none · ref 9

    Internal actions in semi-abelian categories of pro-groups and non-unital pro-rings are described explicitly via actions of group/ring objects in Pro(Set), with the analogous statement shown to fail for Lie algebras.