Cohomology of general coinduced representions |
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Authors: | Juan José Martinez |
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Affiliation: | Departamento de Matemática , Facultad de Ciencias Exactas y Naturales Universidad de Buenos Aires , Buenos Aires, 1428, Argentina |
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Abstract: | ABSTRACT Let R be a prime ring with a nonzero derivation d and let f(X 1,…,X t ) be a multilinear polynomial over C, the extended centroid of R. Suppose that b[d(f(x 1,…,x t )), f(x 1,…,x t )] n = 0 for all x i ∈ R, where 0 ≠ b ∈ R and n is a fixed positive integer. Then f(X 1,…,X t ) is centrally valued on R unless char R = 2 and dim C RC = 4. We prove a more generalized version by replacing R with a left ideal. |
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Keywords: | Derivation Differential identity GPI PI Prime ring |
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