Yazar "Karabacak, F." için listeleme
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Modules Whose Direct Summands Are Fi-Extending
TaşdEmir, Oktay; Karabacak, F. (Springer, 2017)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 ... -
On generalizations of extending modules
Karabacak, F. (Kyungpook National University, 2009)A module M is said to be SIP-extending if the intersection of every pair of direct summands is essential in a direct summand of M. SIP-extending modules are a proper generalization of both SIP-modules and extending modules. ... -
On modules and matrix rings with sip-extending
Karabacak, F.; Tercan, A. (Mathematical Soc Rep China, 2007)In this note we study modules with the property that the intersection of two direct summands is essential in a direct summand (SIP-extending). Amongst other results we show that the class of right SIP-extending modules is ... -
When is the SIP (SSP) property inherited by free modules
Birkenmeier, G. F.; Karabacak, F.; Tercan, A. (Springer, 2006)A right R-module M has right SIP (SSP) if the intersection (sum) of two direct summands of M is also a direct summand. It is shown that the right SIP (SSP) is not a Morita invariant property and that a nonsingular ...