On subdirect factors of a projective module and applications to system theory
K-Theory and Homology
2016-12-06 v2 Commutative Algebra
Optimization and Control
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.
Keywords
Cite
@article{arxiv.1305.0058,
title = {On subdirect factors of a projective module and applications to system theory},
author = {Mohamed Barakat},
journal= {arXiv preprint arXiv:1305.0058},
year = {2016}
}