Geodesic
The coradical of a Jordan (alternative) coalgebra and the quasiregular radical of its dual algebra
Matematičeskie zametki, Tome 80 (2006) no. 4, pp. 509-515

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It is proved that the orthogonal complement to the coradical of a Jordan (alternative) coalgebra coincides with the quasiregular radical of the dual algebra. 
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     title = {The coradical of a {Jordan} (alternative) coalgebra and the quasiregular radical of its dual algebra},
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V. N. Zhelyabin. The coradical of a Jordan (alternative) coalgebra and the quasiregular radical of its dual algebra. Matematičeskie zametki, Tome 80 (2006) no. 4, pp. 509-515. http://geodesic.mathdoc.fr/item/MZM_2006_80_4_a3/