Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/6389
Title: When some complement of an EC-submodule is a direct summand
Authors: Celep Yücel, Canan
Tercan, A.
Keywords: C11-module
EC-closed submodule
Extending module
Multiplication module
P-extending module
Abstract: A module M is said to satisfy the EC11 condition if every ec-submodule of M has a complement which is a direct summand. We show that for a multiplication module over a commutative ring the EC11 and P-extending conditions are equivalent. It is shown that the EC11 property is not inherited by direct summands. Moreover, we prove that if M is an EC11-module where SocM is an ec-submodule, then it is a direct sum of a module with essential socle and a module with zero socle. An example is given to show that the reverse of the last result does not hold.
URI: https://hdl.handle.net/11499/6389
ISSN: 1225-6951
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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