A Note on the Density Theorem
Canadian mathematical bulletin, Tome 24 (1981) no. 2, p. 249
Voir la notice de l'article provenant de la source Cambridge University Press
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
@article{10_4153_CMB_1981_041_4,
author = {Lawrence, John},
title = {A {Note} on the {Density} {Theorem}},
journal = {Canadian mathematical bulletin},
pages = {249--249},
year = {1981},
volume = {24},
number = {2},
doi = {10.4153/CMB-1981-041-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-041-4/}
}
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