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The coradical of a Jordan (alternative) coalgebra and the quasiregular radical of its dual algebra
V. N. Zhelyabin Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
It is proved that the orthogonal complement to the coradical of a Jordan (alternative) coalgebra coincides with the quasiregular radical of the dual algebra.
Received: 07.07.2005 Revised: 08.12.2005
Citation:
V. N. Zhelyabin, “The coradical of a Jordan (alternative) coalgebra and the quasiregular radical of its dual algebra”, Mat. Zametki, 80:4 (2006), 509–515; Math. Notes, 80:4 (2006), 485–490
Linking options:
https://www.mathnet.ru/eng/mzm2843https://doi.org/10.4213/mzm2843 https://www.mathnet.ru/eng/mzm/v80/i4/p509
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