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The document discusses centralizers in endomorphism rings. It proves that the centralizer of a nilpotent endomorphism of a finitely generated semisimple module is a homomorphic image of a subalgebra of a matrix ring over a polynomial ring. If the base ring is local, the centralizer is characterized. It also determines properties of centralizers for nilpotent linear maps of vector spaces.

Author

Luis Fuentes

Language

EN