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.

UDC: 512.554

Received: 07.07.2005
Revised: 08.12.2005

DOI: 10.4213/mzm2843

 English version: Mathematical Notes, 2006, 80:4, 485–490

Bibliographic databases:

• 
• 
• 
• 
•