On K-extending modules

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Modules whose direct summands are FI-extending

‎A module $M$ is called FI-extending if every fully invariant submodule of $M$ is essential in a direct summand of $M$‎. ‎It is not known whether a direct summand of an FI-extending module is also FI-extending‎. ‎In this study‎, ‎it is given some answers to the question that under what conditions a direct summand of an FI-extending module is an FI-extending module?

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ژورنال

عنوان ژورنال: Tamkang Journal of Mathematics

سال: 2017

ISSN: 2073-9826,0049-2930

DOI: 10.5556/j.tkjm.48.2017.1838