- On Generalizations of Extending Modules
- On Generalizations of Extending Modules
- ㆍ 저자명
- Karabacak. Fatih
- ㆍ 간행물명
- Kyungpook mathematical journal
- ㆍ 권/호정보
- 2009년|49권 3호|pp.557-562 (6 pages)
- ㆍ 발행정보
- 경북대학교 자연과학대학 수학과
- ㆍ 파일정보
- 정기간행물|ENG| PDF텍스트
- ㆍ 주제분야
- 기타
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. Every direct summand of an SIP-module is an SIP-module just as a direct summand of an extending module is extending. While it is known that a direct sum of SIP-extending modules is not necessarily SIP-extending, the question about direct summands of an SIP-extending module to be SIP-extending remains open. In this study, we show that a direct summand of an SIP-extending module inherits this property under some conditions. Some related results are included about $C_{11}$ and SIP-modules.