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Requesting Help: I have been stuck on this problem

by: Pierre de Fermat

Can every finite dimensional right alternative algebra over a “good” field be expressed as a direct sum (of vector spaces) of its nil radical and a semisimple subalgebra?

I have been struggling with this for days and have yet to be able to solve this problem.

Posted By: Pierre de Fermat
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#1  by: 📠   
#1    

Yes but cream pie blondes

By: 📠
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#2  by: Subhuman   
#2    

Is there a variety of Lie algebras over a field of charac- teristic 0 with a distributive lattice of subvarieties and whose basis of identities is not limited to degree 6?

By: Subhuman
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