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:

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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