Посилання:On the representation type of Jordan basic algebras / I. Kashuba, S. Ovsienko, I. Shestakov // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 47-61. — Бібліогр.: 15 назв. — англ.
Підтримка:Supported by the Brazilian FAPESP Proc. 2016/08740-1 and CNPq Proc.307998/2016-9.
Supported by the Brazilian FAPESP Proc. 2014/09310-5 and CNPq Proc.303916/2014-1.
A finite dimensional Jordan algebra J over a field k is called \textit{basic} if the quotient algebra J/RadJ is isomorphic to a direct sum of copies of k.
We describe all basic Jordan algebras J with (RadJ)²=0 of finite and tame representation type over an algebraically closed field of characteristic 0.