Jenö Szigeti, Leon van Wyk
Abstract
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For an endomorphism φ ∈ EndR(M) of a left R-module RM, we investigate the structure and the polynomial identities of the zero-level centralizer Cen0(φ) and the factor Cen(φ)/Cen0(φ). A double zero-centralizer theorem for Cen0(Cen0(φ)) is also formulated.
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For an endomorphism φ ∈ EndR(M) of a left R-module RM, we investigate the structure and the polynomial identities of the zero-level centralizer Cen0(φ) and the factor Cen(φ)/Cen0(φ). A double zero-centralizer theorem for Cen0(Cen0(φ)) is also formulated.
Key concepts: Centralizer and normalizer, Endomorphism, Zero (linguistics), Mathematics, Pure mathematics, Polynomial, Discrete mathematics, Mathematical analysis