Chapter

Cyclic modules essentially embeddable in free modules

S. K. Jain, Ashish K. Srivastava and Askar A. Tuganbaev

in Cyclic Modules and the Structure of Rings

Published in print September 2012 | ISBN: 9780199664511
Published online January 2013 | e-ISBN: 9780191746024 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199664511.003.0012

Series: Oxford Mathematical Monographs

Cyclic modules essentially embeddable in free modules

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This chapter considers rings each of whose cyclic modules is essentially embeddable in a free module (or a projective module) and gives results due to Gomez-Pardo, Guil Asensio, Jain, Lopez-Permouth and others. This chapter presents a survey of the work done on both the FGF problem and CF problem.

Keywords: cyclic modules; free modules; projective modules; fGF problem; cF problem

Chapter.  6685 words. 

Subjects: Algebra

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