HIGHLIGHTS
SUMMARY
The concept of simple and semisimple rings, modules, and algebras (see, e_g_[1-4]) plays a crucial role in the investigation of Lie algebras and representation theory, as well as in category theory. The authors first propose a generalization of this concept for polyadic algebraic structures, which can also be important, e_g, in the operad theory and nonassociative structures. If semisimple structures can be presented in block-diagonal matrix form (resulting to the Wedderburn decomposition ), corresponding general forms for polyadic rings can be decomposed to block-shift matrices. Going in the opposite direction, the . . .
If you want to have access to all the content you need to log in!
Thanks :)
If you don't have an account, you can create one here.