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arXiv · 1305.0058

On subdirect factors of a projective module and applications to system theory

Mohamed Barakat
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Abstract

We extend a result of Napp Avelli, van der Put, and Rocha with a system-theoretic interpretation to the noncommutative case: Let P be a f.g. projective module over a two-sided Noetherian domain. If P admits a subdirect product structure of the form P = M x_T L over a factor module T of grade at least 2 then the torsion-free factor of M (resp. L) is projective.

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Mohamed Barakat. 2013-09-06. On subdirect factors of a projective module and applications to system theory. https://doi.org/10.1007/s11045-013-0258-z

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