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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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