Modules whose direct summands are FI-extending

Author(s):

O. Tasdemir * , F. Karabacak

Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
ýA module M is called FI-extending if every fully invariant submodule of M is essential in a direct summand of Mý. ýIt is not known whether a direct summand of an FI-extending module is also FI-extendingý. ýIn this studyý, ýit is given some answers to the question that under what conditions a direct summand of an FI-extending module is an FI-extending module?
Keywords:

Extending module? , ?direct summand? , ?left exact preradical?

Language:
English
Published:
Bulletin of Iranian Mathematical Society, Volume:43 Issue: 7, 2017
Pages:
2227 to 2231
https://www.magiran.com/p1850898