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84 p, 672.0 KB Topologically semisimple and topologically perfect topological rings / Positselski, Leonid (Czech Academy of Sciences. Institute of Mathematics) ; Šťovíček, Jan (Charles University in Prague. Department of Algebra)
Extending the Wedderburn-Artin theory of (classically) semisimple associative rings to the realm of topological rings with right linear topology, we show that the abelian category of left contramodules over such a ring is split (equivalently, semisimple) if and only if the abelian category of discrete right modules over the same ring is split (equivalently, semisimple). [...]
2022 - 10.5565/PUBLMAT6622202
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 457-540 (Articles)  

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