Let R be a right perfect ring. Let M be a noncosingular lifting module that does not have any relatively projective component. Then M has finite hollow dimension.
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References
J. Clark, C. Lomp, N. Vanaja, and R. Wisbauer, Lifting Modules, Birkhäuser, Basel (2006).
D. Keskin, “Finite direct sums of (D1)-modules,” Tr. J. Math., 22, No. 1, 85–91 (1998).
D. Keskin Tütüncü and R. Tribak, “On dual Baer modules,” Glasgow Math. J., 52, 261–269 (2010).
S. H. Mohamed and B. J. Müller, Continuous and Discrete Modules, Cambridge University Press, Cambridge (1990).
Y. Talebi and N. Vanaja, “The torsion theory cogenerated by M-small modules,” Commun. Algebra, 30, No. 3, 1449–1460 (2002).
R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Reading (1991).
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 11, pp. 1572–1574, November, 2012.
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Kalati, T.A., Tütüncü, D.K. A note on noncosingular lifting modules. Ukr Math J 64, 1776–1779 (2013). https://doi.org/10.1007/s11253-013-0750-5
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DOI: https://doi.org/10.1007/s11253-013-0750-5