Core-nilpotent endomorphisms on arbitrary vector spaces are described using k[x]-modules, providing a generalized inverse that coincides with the Drazin inverse under specific conditions and a generalized core-nilpotent decomposition.
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k[x]-modules and Core-Nilpotent endomorphisms
Core-nilpotent endomorphisms on arbitrary vector spaces are described using k[x]-modules, providing a generalized inverse that coincides with the Drazin inverse under specific conditions and a generalized core-nilpotent decomposition.