The zero-level centralizer in endomorphism algebras
نویسندگان
چکیده
منابع مشابه
The centralizer of an element in an endomorphism ring
We prove that the centralizer Cφ ⊆ HomR(M,M) of a nilpotent endomorphism φ of a finitely generated semisimple left R-module RM (over an arbitrary ring R) is the homomorphic image of the opposite of a certain Z(R)-subalgebra of the full m×m matrix algebra Mm×m(R[t]), where m is the dimension (composition length) of ker(φ). If R is a finite dimensional division ring over its central subfield Z(R)...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2012
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s030821051100059x