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A Note on the Density Theorem
Published online by Cambridge University Press: 20 November 2018
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In this note we prove:
Theorem. Let R be a right primitive ring with pair-wise non-isomorphic faithful irreducible modules Ml, M2,…, Mk. Let Di = EndR Mi. For each i, let be elements of Mi linearly independent over Di. For each i, let be a set of elements of Mi. Then there exists an element r of R such that uij = vijr, for i = 1, 2, …, k and j = 1, 2, …, ni.
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- Copyright © Canadian Mathematical Society 1981
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