A Note on Constants of Integral Derivations in Semiprime Rings |
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| Authors: | Yen-Jen Chen |
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| Affiliation: | Department of Mathematics , National Taiwan University , Taipei , Taiwan |
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| Abstract: | Let R be a semiprime ring with extended centroid C and with Q its Martindale symmetric ring of quotients. Suppose that δ: R → R is a C-integral derivation. For a subring A of Q, let A(δ) denote the subring of constants of δ in A. We prove that R(δ) and Q(δ) satisfy the same polynomial identities with coefficients in C. In particular, R(δ) is not nil of bounded index. |
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| Keywords: | Integral derivation PI Quotient ring Semiprime ring |
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