A Note on the Density Theorem
Canadian mathematical bulletin, Tome 24 (1981) no. 2, p. 249

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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.
Lawrence, John. A Note on the Density Theorem. Canadian mathematical bulletin, Tome 24 (1981) no. 2, p. 249. doi: 10.4153/CMB-1981-041-4
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