caa a22 4500 606199659 CHVBK 20210128100939.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s11045-013-0258-z doi (NATIONALLICENCE)springer-10.1007/s11045-013-0258-z Barakat Mohamed Department of Mathematics, University of Kaiserslautern, 67653, Kaiserslautern, Germany aut On subdirect factors of a projective module and applications to system theory [Elektronische Daten] [Mohamed Barakat] We extend a result of Napp Avelli, van der Put, and Rocha with a system-theoretic interpretation to the noncommutative case: Let $$P$$ P be a f.g.projective module over a two-sided Noetherian domain. If $$P$$ P admits a subdirect product structure of the form $$P \cong M \times _T N$$ P ≅ M × T N over a factor module $$T$$ T of grade at least $$2$$ 2 then the torsion-free factor of $$M$$ M (resp. $$N$$ N ) is projective. Springer Science+Business Media New York, 2013 Subdirect products nationallicence Torsionless nationallicence Grade nationallicence Projective nationallicence Torsion-free nationallicence Codimension nationallicence Free nationallicence Constructive homological algebra nationallicence $${\mathtt {homalg}}$$ homalg nationallicence System theory nationallicence Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/2(2015-04-01), 339-348 0923-6082 26:2<339 2015 26 11045 https://doi.org/10.1007/s11045-013-0258-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11045-013-0258-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Barakat Mohamed Department of Mathematics, University of Kaiserslautern, 67653, Kaiserslautern, Germany aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/2(2015-04-01), 339-348 0923-6082 26:2<339 2015 26 11045